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Finding the Third Proportional to 249,709 and 550,314

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Solution

The third proportional to 249,709 and 550,314 is: 1,212,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,709 : 550,314 = 550,314 : x
  2. Step 2: Convert to fraction form
    249,709/550,314 = 550,314/x
  3. Step 3: Cross multiply
    249,709x = 550,314 × 550,314
  4. Step 4: Simplify right side
    249,709x = 302,845,498,596
  5. Step 5: Solve for x
    x = 302,845,498,596/249,709
  6. Step 6: Final answer
    x = 1,212,793.69

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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.