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Finding the Third Proportional to 249,351 and 548,516

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Solution

The third proportional to 249,351 and 548,516 is: 1,206,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,351 : 548,516 = 548,516 : x
  2. Step 2: Convert to fraction form
    249,351/548,516 = 548,516/x
  3. Step 3: Cross multiply
    249,351x = 548,516 × 548,516
  4. Step 4: Simplify right side
    249,351x = 300,869,802,256
  5. Step 5: Solve for x
    x = 300,869,802,256/249,351
  6. Step 6: Final answer
    x = 1,206,611.57

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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.