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Finding the Third Proportional to 249,674.06 and 539,251.17

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Solution

The third proportional to 249,674.06 and 539,251.17 is: 1,164,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,674.06 : 539,251.17 = 539,251.17 : x
  2. Step 2: Convert to fraction form
    249,674.06/539,251.17 = 539,251.17/x
  3. Step 3: Cross multiply
    249,674.06x = 539,251.17 × 539,251.17
  4. Step 4: Simplify right side
    249,674.06x = 290,791,826,368.56
  5. Step 5: Solve for x
    x = 290,791,826,368.56/249,674.06
  6. Step 6: Final answer
    x = 1,164,685.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.