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Finding the Third Proportional to 420,948 and 631,902

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Solution

The third proportional to 420,948 and 631,902 is: 948,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,948 : 631,902 = 631,902 : x
  2. Step 2: Convert to fraction form
    420,948/631,902 = 631,902/x
  3. Step 3: Cross multiply
    420,948x = 631,902 × 631,902
  4. Step 4: Simplify right side
    420,948x = 399,300,137,604
  5. Step 5: Solve for x
    x = 399,300,137,604/420,948
  6. Step 6: Final answer
    x = 948,573.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.