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Finding the Third Proportional to 334,702.13 and 516,815.44

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Solution

The third proportional to 334,702.13 and 516,815.44 is: 798,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,702.13 : 516,815.44 = 516,815.44 : x
  2. Step 2: Convert to fraction form
    334,702.13/516,815.44 = 516,815.44/x
  3. Step 3: Cross multiply
    334,702.13x = 516,815.44 × 516,815.44
  4. Step 4: Simplify right side
    334,702.13x = 267,098,196,438.32
  5. Step 5: Solve for x
    x = 267,098,196,438.32/334,702.13
  6. Step 6: Final answer
    x = 798,017.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.