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Finding the Third Proportional to 334,064 and 517,040

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Solution

The third proportional to 334,064 and 517,040 is: 800,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,064 : 517,040 = 517,040 : x
  2. Step 2: Convert to fraction form
    334,064/517,040 = 517,040/x
  3. Step 3: Cross multiply
    334,064x = 517,040 × 517,040
  4. Step 4: Simplify right side
    334,064x = 267,330,361,600
  5. Step 5: Solve for x
    x = 267,330,361,600/334,064
  6. Step 6: Final answer
    x = 800,236.97

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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.