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Finding the Third Proportional to 273,084 and 413,442

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Solution

The third proportional to 273,084 and 413,442 is: 625,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,084 : 413,442 = 413,442 : x
  2. Step 2: Convert to fraction form
    273,084/413,442 = 413,442/x
  3. Step 3: Cross multiply
    273,084x = 413,442 × 413,442
  4. Step 4: Simplify right side
    273,084x = 170,934,287,364
  5. Step 5: Solve for x
    x = 170,934,287,364/273,084
  6. Step 6: Final answer
    x = 625,940.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.