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Finding the Third Proportional to 521,586 and 744,468.75

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Solution

The third proportional to 521,586 and 744,468.75 is: 1,062,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,586 : 744,468.75 = 744,468.75 : x
  2. Step 2: Convert to fraction form
    521,586/744,468.75 = 744,468.75/x
  3. Step 3: Cross multiply
    521,586x = 744,468.75 × 744,468.75
  4. Step 4: Simplify right side
    521,586x = 554,233,719,726.56
  5. Step 5: Solve for x
    x = 554,233,719,726.56/521,586
  6. Step 6: Final answer
    x = 1,062,593.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.