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Finding the Third Proportional to 535,272 and 781,551

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Solution

The third proportional to 535,272 and 781,551 is: 1,141,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,272 : 781,551 = 781,551 : x
  2. Step 2: Convert to fraction form
    535,272/781,551 = 781,551/x
  3. Step 3: Cross multiply
    535,272x = 781,551 × 781,551
  4. Step 4: Simplify right side
    535,272x = 610,821,965,601
  5. Step 5: Solve for x
    x = 610,821,965,601/535,272
  6. Step 6: Final answer
    x = 1,141,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.