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Finding the Third Proportional to 247,034 and 502,814

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Solution

The third proportional to 247,034 and 502,814 is: 1,023,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,034 : 502,814 = 502,814 : x
  2. Step 2: Convert to fraction form
    247,034/502,814 = 502,814/x
  3. Step 3: Cross multiply
    247,034x = 502,814 × 502,814
  4. Step 4: Simplify right side
    247,034x = 252,821,918,596
  5. Step 5: Solve for x
    x = 252,821,918,596/247,034
  6. Step 6: Final answer
    x = 1,023,429.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.