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Finding the Third Proportional to 249,923.92 and 548,718.05

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Solution

The third proportional to 249,923.92 and 548,718.05 is: 1,204,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,923.92 : 548,718.05 = 548,718.05 : x
  2. Step 2: Convert to fraction form
    249,923.92/548,718.05 = 548,718.05/x
  3. Step 3: Cross multiply
    249,923.92x = 548,718.05 × 548,718.05
  4. Step 4: Simplify right side
    249,923.92x = 301,091,494,966.32
  5. Step 5: Solve for x
    x = 301,091,494,966.32/249,923.92
  6. Step 6: Final answer
    x = 1,204,732.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.