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Finding the Third Proportional to 237,519 and 498,078

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Solution

The third proportional to 237,519 and 498,078 is: 1,044,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,519 : 498,078 = 498,078 : x
  2. Step 2: Convert to fraction form
    237,519/498,078 = 498,078/x
  3. Step 3: Cross multiply
    237,519x = 498,078 × 498,078
  4. Step 4: Simplify right side
    237,519x = 248,081,694,084
  5. Step 5: Solve for x
    x = 248,081,694,084/237,519
  6. Step 6: Final answer
    x = 1,044,470.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.