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Finding the Third Proportional to 602,347 and 932,682

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Solution

The third proportional to 602,347 and 932,682 is: 1,444,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,347 : 932,682 = 932,682 : x
  2. Step 2: Convert to fraction form
    602,347/932,682 = 932,682/x
  3. Step 3: Cross multiply
    602,347x = 932,682 × 932,682
  4. Step 4: Simplify right side
    602,347x = 869,895,713,124
  5. Step 5: Solve for x
    x = 869,895,713,124/602,347
  6. Step 6: Final answer
    x = 1,444,177.05

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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.