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Finding the Third Proportional to 383,387.25 and 601,470

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Solution

The third proportional to 383,387.25 and 601,470 is: 943,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,387.25 : 601,470 = 601,470 : x
  2. Step 2: Convert to fraction form
    383,387.25/601,470 = 601,470/x
  3. Step 3: Cross multiply
    383,387.25x = 601,470 × 601,470
  4. Step 4: Simplify right side
    383,387.25x = 361,766,160,900
  5. Step 5: Solve for x
    x = 361,766,160,900/383,387.25
  6. Step 6: Final answer
    x = 943,605.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.