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Finding the Third Proportional to 525,334,292.30 and 805,804,717.64

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Solution

The third proportional to 525,334,292.30 and 805,804,717.64 is: 1,236,015,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,334,292.30 : 805,804,717.64 = 805,804,717.64 : x
  2. Step 2: Convert to fraction form
    525,334,292.30/805,804,717.64 = 805,804,717.64/x
  3. Step 3: Cross multiply
    525,334,292.30x = 805,804,717.64 × 805,804,717.64
  4. Step 4: Simplify right side
    525,334,292.30x = 649,321,242,971,879,296
  5. Step 5: Solve for x
    x = 649,321,242,971,879,296/525,334,292.30
  6. Step 6: Final answer
    x = 1,236,015,338.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.