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Finding the Third Proportional to 588,562 and 932,595

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Solution

The third proportional to 588,562 and 932,595 is: 1,477,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,562 : 932,595 = 932,595 : x
  2. Step 2: Convert to fraction form
    588,562/932,595 = 932,595/x
  3. Step 3: Cross multiply
    588,562x = 932,595 × 932,595
  4. Step 4: Simplify right side
    588,562x = 869,733,434,025
  5. Step 5: Solve for x
    x = 869,733,434,025/588,562
  6. Step 6: Final answer
    x = 1,477,726.11

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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.