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Finding the Third Proportional to 602,836 and 932,590

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Solution

The third proportional to 602,836 and 932,590 is: 1,442,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,836 : 932,590 = 932,590 : x
  2. Step 2: Convert to fraction form
    602,836/932,590 = 932,590/x
  3. Step 3: Cross multiply
    602,836x = 932,590 × 932,590
  4. Step 4: Simplify right side
    602,836x = 869,724,108,100
  5. Step 5: Solve for x
    x = 869,724,108,100/602,836
  6. Step 6: Final answer
    x = 1,442,720.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.