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Finding the Third Proportional to 534,732 and 713,586

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Solution

The third proportional to 534,732 and 713,586 is: 952,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,732 : 713,586 = 713,586 : x
  2. Step 2: Convert to fraction form
    534,732/713,586 = 713,586/x
  3. Step 3: Cross multiply
    534,732x = 713,586 × 713,586
  4. Step 4: Simplify right side
    534,732x = 509,204,979,396
  5. Step 5: Solve for x
    x = 509,204,979,396/534,732
  6. Step 6: Final answer
    x = 952,262.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.