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Finding the Third Proportional to 249,314 and 548,488

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Solution

The third proportional to 249,314 and 548,488 is: 1,206,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,314 : 548,488 = 548,488 : x
  2. Step 2: Convert to fraction form
    249,314/548,488 = 548,488/x
  3. Step 3: Cross multiply
    249,314x = 548,488 × 548,488
  4. Step 4: Simplify right side
    249,314x = 300,839,086,144
  5. Step 5: Solve for x
    x = 300,839,086,144/249,314
  6. Step 6: Final answer
    x = 1,206,667.44

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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.