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Finding the Third Proportional to 332,469 and 688,587

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Solution

The third proportional to 332,469 and 688,587 is: 1,426,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469 : 688,587 = 688,587 : x
  2. Step 2: Convert to fraction form
    332,469/688,587 = 688,587/x
  3. Step 3: Cross multiply
    332,469x = 688,587 × 688,587
  4. Step 4: Simplify right side
    332,469x = 474,152,056,569
  5. Step 5: Solve for x
    x = 474,152,056,569/332,469
  6. Step 6: Final answer
    x = 1,426,154.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.