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Finding the Third Proportional to 588,552 and 932,580

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Solution

The third proportional to 588,552 and 932,580 is: 1,477,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,552 : 932,580 = 932,580 : x
  2. Step 2: Convert to fraction form
    588,552/932,580 = 932,580/x
  3. Step 3: Cross multiply
    588,552x = 932,580 × 932,580
  4. Step 4: Simplify right side
    588,552x = 869,705,456,400
  5. Step 5: Solve for x
    x = 869,705,456,400/588,552
  6. Step 6: Final answer
    x = 1,477,703.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.