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Finding the Third Proportional to 332,364.38 and 498,421.13

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Solution

The third proportional to 332,364.38 and 498,421.13 is: 747,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,364.38 : 498,421.13 = 498,421.13 : x
  2. Step 2: Convert to fraction form
    332,364.38/498,421.13 = 498,421.13/x
  3. Step 3: Cross multiply
    332,364.38x = 498,421.13 × 498,421.13
  4. Step 4: Simplify right side
    332,364.38x = 248,423,617,846.27
  5. Step 5: Solve for x
    x = 248,423,617,846.27/332,364.38
  6. Step 6: Final answer
    x = 747,443.58

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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.