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Finding the Third Proportional to 334,901 and 502,412

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Solution

The third proportional to 334,901 and 502,412 is: 753,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,901 : 502,412 = 502,412 : x
  2. Step 2: Convert to fraction form
    334,901/502,412 = 502,412/x
  3. Step 3: Cross multiply
    334,901x = 502,412 × 502,412
  4. Step 4: Simplify right side
    334,901x = 252,417,817,744
  5. Step 5: Solve for x
    x = 252,417,817,744/334,901
  6. Step 6: Final answer
    x = 753,708.76

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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.