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Finding the Third Proportional to 534,724 and 713,574

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Solution

The third proportional to 534,724 and 713,574 is: 952,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,724 : 713,574 = 713,574 : x
  2. Step 2: Convert to fraction form
    534,724/713,574 = 713,574/x
  3. Step 3: Cross multiply
    534,724x = 713,574 × 713,574
  4. Step 4: Simplify right side
    534,724x = 509,187,853,476
  5. Step 5: Solve for x
    x = 509,187,853,476/534,724
  6. Step 6: Final answer
    x = 952,244.25

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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.