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Finding the Third Proportional to 541,930.50 and 762,482.25

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Solution

The third proportional to 541,930.50 and 762,482.25 is: 1,072,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,930.50 : 762,482.25 = 762,482.25 : x
  2. Step 2: Convert to fraction form
    541,930.50/762,482.25 = 762,482.25/x
  3. Step 3: Cross multiply
    541,930.50x = 762,482.25 × 762,482.25
  4. Step 4: Simplify right side
    541,930.50x = 581,379,181,565.06
  5. Step 5: Solve for x
    x = 581,379,181,565.06/541,930.50
  6. Step 6: Final answer
    x = 1,072,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.