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Finding the Third Proportional to 362,801 and 544,566

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Solution

The third proportional to 362,801 and 544,566 is: 817,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,801 : 544,566 = 544,566 : x
  2. Step 2: Convert to fraction form
    362,801/544,566 = 544,566/x
  3. Step 3: Cross multiply
    362,801x = 544,566 × 544,566
  4. Step 4: Simplify right side
    362,801x = 296,552,128,356
  5. Step 5: Solve for x
    x = 296,552,128,356/362,801
  6. Step 6: Final answer
    x = 817,396.12

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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.