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Finding the Third Proportional to 334,024 and 517,266

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Solution

The third proportional to 334,024 and 517,266 is: 801,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,024 : 517,266 = 517,266 : x
  2. Step 2: Convert to fraction form
    334,024/517,266 = 517,266/x
  3. Step 3: Cross multiply
    334,024x = 517,266 × 517,266
  4. Step 4: Simplify right side
    334,024x = 267,564,114,756
  5. Step 5: Solve for x
    x = 267,564,114,756/334,024
  6. Step 6: Final answer
    x = 801,032.60

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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.