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Finding the Third Proportional to 362,650 and 544,291

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Solution

The third proportional to 362,650 and 544,291 is: 816,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,650 : 544,291 = 544,291 : x
  2. Step 2: Convert to fraction form
    362,650/544,291 = 544,291/x
  3. Step 3: Cross multiply
    362,650x = 544,291 × 544,291
  4. Step 4: Simplify right side
    362,650x = 296,252,692,681
  5. Step 5: Solve for x
    x = 296,252,692,681/362,650
  6. Step 6: Final answer
    x = 816,910.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.