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Finding the Third Proportional to 496,930.50 and 662,073.75

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Solution

The third proportional to 496,930.50 and 662,073.75 is: 882,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,930.50 : 662,073.75 = 662,073.75 : x
  2. Step 2: Convert to fraction form
    496,930.50/662,073.75 = 662,073.75/x
  3. Step 3: Cross multiply
    496,930.50x = 662,073.75 × 662,073.75
  4. Step 4: Simplify right side
    496,930.50x = 438,341,650,439.06
  5. Step 5: Solve for x
    x = 438,341,650,439.06/496,930.50
  6. Step 6: Final answer
    x = 882,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.