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Finding the Third Proportional to 334,160 and 517,192

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Solution

The third proportional to 334,160 and 517,192 is: 800,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,160 : 517,192 = 517,192 : x
  2. Step 2: Convert to fraction form
    334,160/517,192 = 517,192/x
  3. Step 3: Cross multiply
    334,160x = 517,192 × 517,192
  4. Step 4: Simplify right side
    334,160x = 267,487,564,864
  5. Step 5: Solve for x
    x = 267,487,564,864/334,160
  6. Step 6: Final answer
    x = 800,477.51

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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.