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Finding the Third Proportional to 588,576 and 932,616

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Solution

The third proportional to 588,576 and 932,616 is: 1,477,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,576 : 932,616 = 932,616 : x
  2. Step 2: Convert to fraction form
    588,576/932,616 = 932,616/x
  3. Step 3: Cross multiply
    588,576x = 932,616 × 932,616
  4. Step 4: Simplify right side
    588,576x = 869,772,603,456
  5. Step 5: Solve for x
    x = 869,772,603,456/588,576
  6. Step 6: Final answer
    x = 1,477,757.51

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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.