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Finding the Third Proportional to 535,680 and 810,432

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Solution

The third proportional to 535,680 and 810,432 is: 1,226,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,680 : 810,432 = 810,432 : x
  2. Step 2: Convert to fraction form
    535,680/810,432 = 810,432/x
  3. Step 3: Cross multiply
    535,680x = 810,432 × 810,432
  4. Step 4: Simplify right side
    535,680x = 656,800,026,624
  5. Step 5: Solve for x
    x = 656,800,026,624/535,680
  6. Step 6: Final answer
    x = 1,226,105.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.