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Finding the Third Proportional to 394,428 and 601,470

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Solution

The third proportional to 394,428 and 601,470 is: 917,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,428 : 601,470 = 601,470 : x
  2. Step 2: Convert to fraction form
    394,428/601,470 = 601,470/x
  3. Step 3: Cross multiply
    394,428x = 601,470 × 601,470
  4. Step 4: Simplify right side
    394,428x = 361,766,160,900
  5. Step 5: Solve for x
    x = 361,766,160,900/394,428
  6. Step 6: Final answer
    x = 917,191.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.