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Finding the Third Proportional to 602,872 and 932,646

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Solution

The third proportional to 602,872 and 932,646 is: 1,442,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872 : 932,646 = 932,646 : x
  2. Step 2: Convert to fraction form
    602,872/932,646 = 932,646/x
  3. Step 3: Cross multiply
    602,872x = 932,646 × 932,646
  4. Step 4: Simplify right side
    602,872x = 869,828,561,316
  5. Step 5: Solve for x
    x = 869,828,561,316/602,872
  6. Step 6: Final answer
    x = 1,442,808.03

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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.