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Finding the Third Proportional to 334,762 and 502,872

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Solution

The third proportional to 334,762 and 502,872 is: 755,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,762 : 502,872 = 502,872 : x
  2. Step 2: Convert to fraction form
    334,762/502,872 = 502,872/x
  3. Step 3: Cross multiply
    334,762x = 502,872 × 502,872
  4. Step 4: Simplify right side
    334,762x = 252,880,248,384
  5. Step 5: Solve for x
    x = 252,880,248,384/334,762
  6. Step 6: Final answer
    x = 755,403.09

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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.