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Finding the Third Proportional to 207,840 and 502,536

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Solution

The third proportional to 207,840 and 502,536 is: 1,215,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840 : 502,536 = 502,536 : x
  2. Step 2: Convert to fraction form
    207,840/502,536 = 502,536/x
  3. Step 3: Cross multiply
    207,840x = 502,536 × 502,536
  4. Step 4: Simplify right side
    207,840x = 252,542,431,296
  5. Step 5: Solve for x
    x = 252,542,431,296/207,840
  6. Step 6: Final answer
    x = 1,215,080.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.