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Finding the Third Proportional to 252,584 and 390,134

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Solution

The third proportional to 252,584 and 390,134 is: 602,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,584 : 390,134 = 390,134 : x
  2. Step 2: Convert to fraction form
    252,584/390,134 = 390,134/x
  3. Step 3: Cross multiply
    252,584x = 390,134 × 390,134
  4. Step 4: Simplify right side
    252,584x = 152,204,537,956
  5. Step 5: Solve for x
    x = 152,204,537,956/252,584
  6. Step 6: Final answer
    x = 602,589.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.