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Finding the Third Proportional to 249,380 and 538,126

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Solution

The third proportional to 249,380 and 538,126 is: 1,161,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,380 : 538,126 = 538,126 : x
  2. Step 2: Convert to fraction form
    249,380/538,126 = 538,126/x
  3. Step 3: Cross multiply
    249,380x = 538,126 × 538,126
  4. Step 4: Simplify right side
    249,380x = 289,579,591,876
  5. Step 5: Solve for x
    x = 289,579,591,876/249,380
  6. Step 6: Final answer
    x = 1,161,198.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.