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Finding the Third Proportional to 249,689.62 and 550,278.25

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Solution

The third proportional to 249,689.62 and 550,278.25 is: 1,212,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,689.62 : 550,278.25 = 550,278.25 : x
  2. Step 2: Convert to fraction form
    249,689.62/550,278.25 = 550,278.25/x
  3. Step 3: Cross multiply
    249,689.62x = 550,278.25 × 550,278.25
  4. Step 4: Simplify right side
    249,689.62x = 302,806,148,124.01
  5. Step 5: Solve for x
    x = 302,806,148,124.01/249,689.62
  6. Step 6: Final answer
    x = 1,212,730.23

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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.