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Finding the Third Proportional to 332,473 and 706,377

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Solution

The third proportional to 332,473 and 706,377 is: 1,500,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,473 : 706,377 = 706,377 : x
  2. Step 2: Convert to fraction form
    332,473/706,377 = 706,377/x
  3. Step 3: Cross multiply
    332,473x = 706,377 × 706,377
  4. Step 4: Simplify right side
    332,473x = 498,968,466,129
  5. Step 5: Solve for x
    x = 498,968,466,129/332,473
  6. Step 6: Final answer
    x = 1,500,778.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.