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Finding the Third Proportional to 332,740 and 517,158

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Solution

The third proportional to 332,740 and 517,158 is: 803,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,740 : 517,158 = 517,158 : x
  2. Step 2: Convert to fraction form
    332,740/517,158 = 517,158/x
  3. Step 3: Cross multiply
    332,740x = 517,158 × 517,158
  4. Step 4: Simplify right side
    332,740x = 267,452,396,964
  5. Step 5: Solve for x
    x = 267,452,396,964/332,740
  6. Step 6: Final answer
    x = 803,787.93

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Why These Related Problems?

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