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Finding the Third Proportional to 566,065.13 and 1,231,780.50

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Solution

The third proportional to 566,065.13 and 1,231,780.50 is: 2,680,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,065.13 : 1,231,780.50 = 1,231,780.50 : x
  2. Step 2: Convert to fraction form
    566,065.13/1,231,780.50 = 1,231,780.50/x
  3. Step 3: Cross multiply
    566,065.13x = 1,231,780.50 × 1,231,780.50
  4. Step 4: Simplify right side
    566,065.13x = 1,517,283,200,180.25
  5. Step 5: Solve for x
    x = 1,517,283,200,180.25/566,065.13
  6. Step 6: Final answer
    x = 2,680,403.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.