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Finding the Third Proportional to 334,753 and 502,861

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Solution

The third proportional to 334,753 and 502,861 is: 755,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,753 : 502,861 = 502,861 : x
  2. Step 2: Convert to fraction form
    334,753/502,861 = 502,861/x
  3. Step 3: Cross multiply
    334,753x = 502,861 × 502,861
  4. Step 4: Simplify right side
    334,753x = 252,869,185,321
  5. Step 5: Solve for x
    x = 252,869,185,321/334,753
  6. Step 6: Final answer
    x = 755,390.35

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