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Finding the Third Proportional to 334,653 and 502,715

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Solution

The third proportional to 334,653 and 502,715 is: 755,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,653 : 502,715 = 502,715 : x
  2. Step 2: Convert to fraction form
    334,653/502,715 = 502,715/x
  3. Step 3: Cross multiply
    334,653x = 502,715 × 502,715
  4. Step 4: Simplify right side
    334,653x = 252,722,371,225
  5. Step 5: Solve for x
    x = 252,722,371,225/334,653
  6. Step 6: Final answer
    x = 755,177.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.