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Finding the Third Proportional to 513,786 and 790,686

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Solution

The third proportional to 513,786 and 790,686 is: 1,216,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,786 : 790,686 = 790,686 : x
  2. Step 2: Convert to fraction form
    513,786/790,686 = 790,686/x
  3. Step 3: Cross multiply
    513,786x = 790,686 × 790,686
  4. Step 4: Simplify right side
    513,786x = 625,184,350,596
  5. Step 5: Solve for x
    x = 625,184,350,596/513,786
  6. Step 6: Final answer
    x = 1,216,818.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.