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Finding the Third Proportional to 528,098 and 703,947

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Solution

The third proportional to 528,098 and 703,947 is: 938,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,098 : 703,947 = 703,947 : x
  2. Step 2: Convert to fraction form
    528,098/703,947 = 703,947/x
  3. Step 3: Cross multiply
    528,098x = 703,947 × 703,947
  4. Step 4: Simplify right side
    528,098x = 495,541,378,809
  5. Step 5: Solve for x
    x = 495,541,378,809/528,098
  6. Step 6: Final answer
    x = 938,351.17

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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.