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Finding the Third Proportional to 420,881 and 631,808

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Solution

The third proportional to 420,881 and 631,808 is: 948,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,881 : 631,808 = 631,808 : x
  2. Step 2: Convert to fraction form
    420,881/631,808 = 631,808/x
  3. Step 3: Cross multiply
    420,881x = 631,808 × 631,808
  4. Step 4: Simplify right side
    420,881x = 399,181,348,864
  5. Step 5: Solve for x
    x = 399,181,348,864/420,881
  6. Step 6: Final answer
    x = 948,442.31

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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.