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Finding the Third Proportional to 588,568 and 932,604

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Solution

The third proportional to 588,568 and 932,604 is: 1,477,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,568 : 932,604 = 932,604 : x
  2. Step 2: Convert to fraction form
    588,568/932,604 = 932,604/x
  3. Step 3: Cross multiply
    588,568x = 932,604 × 932,604
  4. Step 4: Simplify right side
    588,568x = 869,750,220,816
  5. Step 5: Solve for x
    x = 869,750,220,816/588,568
  6. Step 6: Final answer
    x = 1,477,739.57

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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.