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Finding the Third Proportional to 506,636 and 790,624

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Solution

The third proportional to 506,636 and 790,624 is: 1,233,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,636 : 790,624 = 790,624 : x
  2. Step 2: Convert to fraction form
    506,636/790,624 = 790,624/x
  3. Step 3: Cross multiply
    506,636x = 790,624 × 790,624
  4. Step 4: Simplify right side
    506,636x = 625,086,309,376
  5. Step 5: Solve for x
    x = 625,086,309,376/506,636
  6. Step 6: Final answer
    x = 1,233,797.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.