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Finding the Third Proportional to 332,741 and 517,159.50

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Solution

The third proportional to 332,741 and 517,159.50 is: 803,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,741 : 517,159.50 = 517,159.50 : x
  2. Step 2: Convert to fraction form
    332,741/517,159.50 = 517,159.50/x
  3. Step 3: Cross multiply
    332,741x = 517,159.50 × 517,159.50
  4. Step 4: Simplify right side
    332,741x = 267,453,948,440.25
  5. Step 5: Solve for x
    x = 267,453,948,440.25/332,741
  6. Step 6: Final answer
    x = 803,790.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.