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Finding the Third Proportional to 337,470 and 474,628.50

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Solution

The third proportional to 337,470 and 474,628.50 is: 667,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,470 : 474,628.50 = 474,628.50 : x
  2. Step 2: Convert to fraction form
    337,470/474,628.50 = 474,628.50/x
  3. Step 3: Cross multiply
    337,470x = 474,628.50 × 474,628.50
  4. Step 4: Simplify right side
    337,470x = 225,272,213,012.25
  5. Step 5: Solve for x
    x = 225,272,213,012.25/337,470
  6. Step 6: Final answer
    x = 667,532.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.