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Finding the Third Proportional to 356,656.50 and 521,857.50

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Solution

The third proportional to 356,656.50 and 521,857.50 is: 763,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,656.50 : 521,857.50 = 521,857.50 : x
  2. Step 2: Convert to fraction form
    356,656.50/521,857.50 = 521,857.50/x
  3. Step 3: Cross multiply
    356,656.50x = 521,857.50 × 521,857.50
  4. Step 4: Simplify right side
    356,656.50x = 272,335,250,306.25
  5. Step 5: Solve for x
    x = 272,335,250,306.25/356,656.50
  6. Step 6: Final answer
    x = 763,578.54

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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.