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Finding the Third Proportional to 360,292 and 538,422

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Solution

The third proportional to 360,292 and 538,422 is: 804,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,292 : 538,422 = 538,422 : x
  2. Step 2: Convert to fraction form
    360,292/538,422 = 538,422/x
  3. Step 3: Cross multiply
    360,292x = 538,422 × 538,422
  4. Step 4: Simplify right side
    360,292x = 289,898,250,084
  5. Step 5: Solve for x
    x = 289,898,250,084/360,292
  6. Step 6: Final answer
    x = 804,620.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.