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Finding the Third Proportional to 729,998 and 976,473

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Solution

The third proportional to 729,998 and 976,473 is: 1,306,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,998 : 976,473 = 976,473 : x
  2. Step 2: Convert to fraction form
    729,998/976,473 = 976,473/x
  3. Step 3: Cross multiply
    729,998x = 976,473 × 976,473
  4. Step 4: Simplify right side
    729,998x = 953,499,519,729
  5. Step 5: Solve for x
    x = 953,499,519,729/729,998
  6. Step 6: Final answer
    x = 1,306,167.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.