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Finding the Third Proportional to 524,854.69 and 1,149,511.50

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Solution

The third proportional to 524,854.69 and 1,149,511.50 is: 2,517,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.69 : 1,149,511.50 = 1,149,511.50 : x
  2. Step 2: Convert to fraction form
    524,854.69/1,149,511.50 = 1,149,511.50/x
  3. Step 3: Cross multiply
    524,854.69x = 1,149,511.50 × 1,149,511.50
  4. Step 4: Simplify right side
    524,854.69x = 1,321,376,688,632.25
  5. Step 5: Solve for x
    x = 1,321,376,688,632.25/524,854.69
  6. Step 6: Final answer
    x = 2,517,604.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.