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Finding the Third Proportional to 252,162 and 390,432

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Solution

The third proportional to 252,162 and 390,432 is: 604,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,162 : 390,432 = 390,432 : x
  2. Step 2: Convert to fraction form
    252,162/390,432 = 390,432/x
  3. Step 3: Cross multiply
    252,162x = 390,432 × 390,432
  4. Step 4: Simplify right side
    252,162x = 152,437,146,624
  5. Step 5: Solve for x
    x = 152,437,146,624/252,162
  6. Step 6: Final answer
    x = 604,520.69

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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.