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Finding the Third Proportional to 386,142 and 597,897

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Solution

The third proportional to 386,142 and 597,897 is: 925,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,142 : 597,897 = 597,897 : x
  2. Step 2: Convert to fraction form
    386,142/597,897 = 597,897/x
  3. Step 3: Cross multiply
    386,142x = 597,897 × 597,897
  4. Step 4: Simplify right side
    386,142x = 357,480,822,609
  5. Step 5: Solve for x
    x = 357,480,822,609/386,142
  6. Step 6: Final answer
    x = 925,775.55

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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.