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Finding the Third Proportional to 334,125 and 517,012.88

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Solution

The third proportional to 334,125 and 517,012.88 is: 800,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,125 : 517,012.88 = 517,012.88 : x
  2. Step 2: Convert to fraction form
    334,125/517,012.88 = 517,012.88/x
  3. Step 3: Cross multiply
    334,125x = 517,012.88 × 517,012.88
  4. Step 4: Simplify right side
    334,125x = 267,302,312,915.77
  5. Step 5: Solve for x
    x = 267,302,312,915.77/334,125
  6. Step 6: Final answer
    x = 800,006.92

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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.