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Finding the Third Proportional to 237,095 and 518,449

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Solution

The third proportional to 237,095 and 518,449 is: 1,133,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,095 : 518,449 = 518,449 : x
  2. Step 2: Convert to fraction form
    237,095/518,449 = 518,449/x
  3. Step 3: Cross multiply
    237,095x = 518,449 × 518,449
  4. Step 4: Simplify right side
    237,095x = 268,789,365,601
  5. Step 5: Solve for x
    x = 268,789,365,601/237,095
  6. Step 6: Final answer
    x = 1,133,677.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.