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Finding the Third Proportional to 332,532 and 688,711

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Solution

The third proportional to 332,532 and 688,711 is: 1,426,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,532 : 688,711 = 688,711 : x
  2. Step 2: Convert to fraction form
    332,532/688,711 = 688,711/x
  3. Step 3: Cross multiply
    332,532x = 688,711 × 688,711
  4. Step 4: Simplify right side
    332,532x = 474,322,841,521
  5. Step 5: Solve for x
    x = 474,322,841,521/332,532
  6. Step 6: Final answer
    x = 1,426,397.58

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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.