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Finding the Third Proportional to 332,389.50 and 498,455

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Solution

The third proportional to 332,389.50 and 498,455 is: 747,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,389.50 : 498,455 = 498,455 : x
  2. Step 2: Convert to fraction form
    332,389.50/498,455 = 498,455/x
  3. Step 3: Cross multiply
    332,389.50x = 498,455 × 498,455
  4. Step 4: Simplify right side
    332,389.50x = 248,457,387,025
  5. Step 5: Solve for x
    x = 248,457,387,025/332,389.50
  6. Step 6: Final answer
    x = 747,488.68

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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.