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Finding the Third Proportional to 249,446 and 547,182

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Solution

The third proportional to 249,446 and 547,182 is: 1,200,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,446 : 547,182 = 547,182 : x
  2. Step 2: Convert to fraction form
    249,446/547,182 = 547,182/x
  3. Step 3: Cross multiply
    249,446x = 547,182 × 547,182
  4. Step 4: Simplify right side
    249,446x = 299,408,141,124
  5. Step 5: Solve for x
    x = 299,408,141,124/249,446
  6. Step 6: Final answer
    x = 1,200,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.