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Finding the Third Proportional to 332,413 and 498,495

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Solution

The third proportional to 332,413 and 498,495 is: 747,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,413 : 498,495 = 498,495 : x
  2. Step 2: Convert to fraction form
    332,413/498,495 = 498,495/x
  3. Step 3: Cross multiply
    332,413x = 498,495 × 498,495
  4. Step 4: Simplify right side
    332,413x = 248,497,265,025
  5. Step 5: Solve for x
    x = 248,497,265,025/332,413
  6. Step 6: Final answer
    x = 747,555.80

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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.