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Finding the Third Proportional to 249,650 and 534,292

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Solution

The third proportional to 249,650 and 534,292 is: 1,143,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,650 : 534,292 = 534,292 : x
  2. Step 2: Convert to fraction form
    249,650/534,292 = 534,292/x
  3. Step 3: Cross multiply
    249,650x = 534,292 × 534,292
  4. Step 4: Simplify right side
    249,650x = 285,467,941,264
  5. Step 5: Solve for x
    x = 285,467,941,264/249,650
  6. Step 6: Final answer
    x = 1,143,472.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.