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Finding the Third Proportional to 356,843.50 and 521,863.50

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Solution

The third proportional to 356,843.50 and 521,863.50 is: 763,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,843.50 : 521,863.50 = 521,863.50 : x
  2. Step 2: Convert to fraction form
    356,843.50/521,863.50 = 521,863.50/x
  3. Step 3: Cross multiply
    356,843.50x = 521,863.50 × 521,863.50
  4. Step 4: Simplify right side
    356,843.50x = 272,341,512,632.25
  5. Step 5: Solve for x
    x = 272,341,512,632.25/356,843.50
  6. Step 6: Final answer
    x = 763,195.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.