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Finding the Third Proportional to 360,294 and 538,425

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Solution

The third proportional to 360,294 and 538,425 is: 804,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,294 : 538,425 = 538,425 : x
  2. Step 2: Convert to fraction form
    360,294/538,425 = 538,425/x
  3. Step 3: Cross multiply
    360,294x = 538,425 × 538,425
  4. Step 4: Simplify right side
    360,294x = 289,901,480,625
  5. Step 5: Solve for x
    x = 289,901,480,625/360,294
  6. Step 6: Final answer
    x = 804,624.78

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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.