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Finding the Third Proportional to 356,843.50 and 521,863.75

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Solution

The third proportional to 356,843.50 and 521,863.75 is: 763,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,843.50 : 521,863.75 = 521,863.75 : x
  2. Step 2: Convert to fraction form
    356,843.50/521,863.75 = 521,863.75/x
  3. Step 3: Cross multiply
    356,843.50x = 521,863.75 × 521,863.75
  4. Step 4: Simplify right side
    356,843.50x = 272,341,773,564.06
  5. Step 5: Solve for x
    x = 272,341,773,564.06/356,843.50
  6. Step 6: Final answer
    x = 763,196.68

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Why These Related Problems?

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