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Finding the Third Proportional to 631,519.31 and 966,223.13

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Solution

The third proportional to 631,519.31 and 966,223.13 is: 1,478,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,519.31 : 966,223.13 = 966,223.13 : x
  2. Step 2: Convert to fraction form
    631,519.31/966,223.13 = 966,223.13/x
  3. Step 3: Cross multiply
    631,519.31x = 966,223.13 × 966,223.13
  4. Step 4: Simplify right side
    631,519.31x = 933,587,127,284.77
  5. Step 5: Solve for x
    x = 933,587,127,284.77/631,519.31
  6. Step 6: Final answer
    x = 1,478,319.20

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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.