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Finding the Third Proportional to 249,253.88 and 543,619.69

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Solution

The third proportional to 249,253.88 and 543,619.69 is: 1,185,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,253.88 : 543,619.69 = 543,619.69 : x
  2. Step 2: Convert to fraction form
    249,253.88/543,619.69 = 543,619.69/x
  3. Step 3: Cross multiply
    249,253.88x = 543,619.69 × 543,619.69
  4. Step 4: Simplify right side
    249,253.88x = 295,522,364,637.60
  5. Step 5: Solve for x
    x = 295,522,364,637.60/249,253.88
  6. Step 6: Final answer
    x = 1,185,627.97

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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.