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Finding the Third Proportional to 332,980 and 521,792

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Solution

The third proportional to 332,980 and 521,792 is: 817,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,980 : 521,792 = 521,792 : x
  2. Step 2: Convert to fraction form
    332,980/521,792 = 521,792/x
  3. Step 3: Cross multiply
    332,980x = 521,792 × 521,792
  4. Step 4: Simplify right side
    332,980x = 272,266,891,264
  5. Step 5: Solve for x
    x = 272,266,891,264/332,980
  6. Step 6: Final answer
    x = 817,667.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.