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Finding the Third Proportional to 247,024 and 502,796

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Solution

The third proportional to 247,024 and 502,796 is: 1,023,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,024 : 502,796 = 502,796 : x
  2. Step 2: Convert to fraction form
    247,024/502,796 = 502,796/x
  3. Step 3: Cross multiply
    247,024x = 502,796 × 502,796
  4. Step 4: Simplify right side
    247,024x = 252,803,817,616
  5. Step 5: Solve for x
    x = 252,803,817,616/247,024
  6. Step 6: Final answer
    x = 1,023,397.80

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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.