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Finding the Third Proportional to 578,506,840.88 and 881,295,400.13

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Solution

The third proportional to 578,506,840.88 and 881,295,400.13 is: 1,342,562,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,506,840.88 : 881,295,400.13 = 881,295,400.13 : x
  2. Step 2: Convert to fraction form
    578,506,840.88/881,295,400.13 = 881,295,400.13/x
  3. Step 3: Cross multiply
    578,506,840.88x = 881,295,400.13 × 881,295,400.13
  4. Step 4: Simplify right side
    578,506,840.88x = 776,681,582,281,483,904
  5. Step 5: Solve for x
    x = 776,681,582,281,483,904/578,506,840.88
  6. Step 6: Final answer
    x = 1,342,562,485.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.