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Finding the Third Proportional to 334,200 and 517,252

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Solution

The third proportional to 334,200 and 517,252 is: 800,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200 : 517,252 = 517,252 : x
  2. Step 2: Convert to fraction form
    334,200/517,252 = 517,252/x
  3. Step 3: Cross multiply
    334,200x = 517,252 × 517,252
  4. Step 4: Simplify right side
    334,200x = 267,549,631,504
  5. Step 5: Solve for x
    x = 267,549,631,504/334,200
  6. Step 6: Final answer
    x = 800,567.42

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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.