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Finding the Third Proportional to 367,504 and 498,753

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Solution

The third proportional to 367,504 and 498,753 is: 676,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,504 : 498,753 = 498,753 : x
  2. Step 2: Convert to fraction form
    367,504/498,753 = 498,753/x
  3. Step 3: Cross multiply
    367,504x = 498,753 × 498,753
  4. Step 4: Simplify right side
    367,504x = 248,754,555,009
  5. Step 5: Solve for x
    x = 248,754,555,009/367,504
  6. Step 6: Final answer
    x = 676,875.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.