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Finding the Third Proportional to 403,832.25 and 881,014.50

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Solution

The third proportional to 403,832.25 and 881,014.50 is: 1,922,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,832.25 : 881,014.50 = 881,014.50 : x
  2. Step 2: Convert to fraction form
    403,832.25/881,014.50 = 881,014.50/x
  3. Step 3: Cross multiply
    403,832.25x = 881,014.50 × 881,014.50
  4. Step 4: Simplify right side
    403,832.25x = 776,186,549,210.25
  5. Step 5: Solve for x
    x = 776,186,549,210.25/403,832.25
  6. Step 6: Final answer
    x = 1,922,051.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.