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Finding the Third Proportional to 332,470 and 498,576

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Solution

The third proportional to 332,470 and 498,576 is: 747,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,470 : 498,576 = 498,576 : x
  2. Step 2: Convert to fraction form
    332,470/498,576 = 498,576/x
  3. Step 3: Cross multiply
    332,470x = 498,576 × 498,576
  4. Step 4: Simplify right side
    332,470x = 248,578,027,776
  5. Step 5: Solve for x
    x = 248,578,027,776/332,470
  6. Step 6: Final answer
    x = 747,670.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.