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Finding the Third Proportional to 524,236 and 790,686

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Solution

The third proportional to 524,236 and 790,686 is: 1,192,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,236 : 790,686 = 790,686 : x
  2. Step 2: Convert to fraction form
    524,236/790,686 = 790,686/x
  3. Step 3: Cross multiply
    524,236x = 790,686 × 790,686
  4. Step 4: Simplify right side
    524,236x = 625,184,350,596
  5. Step 5: Solve for x
    x = 625,184,350,596/524,236
  6. Step 6: Final answer
    x = 1,192,562.80

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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.