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Finding the Third Proportional to 334,040 and 517,316

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Solution

The third proportional to 334,040 and 517,316 is: 801,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,040 : 517,316 = 517,316 : x
  2. Step 2: Convert to fraction form
    334,040/517,316 = 517,316/x
  3. Step 3: Cross multiply
    334,040x = 517,316 × 517,316
  4. Step 4: Simplify right side
    334,040x = 267,615,843,856
  5. Step 5: Solve for x
    x = 267,615,843,856/334,040
  6. Step 6: Final answer
    x = 801,149.10

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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.