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Finding the Third Proportional to 506,632 and 790,620

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Solution

The third proportional to 506,632 and 790,620 is: 1,233,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,632 : 790,620 = 790,620 : x
  2. Step 2: Convert to fraction form
    506,632/790,620 = 790,620/x
  3. Step 3: Cross multiply
    506,632x = 790,620 × 790,620
  4. Step 4: Simplify right side
    506,632x = 625,079,984,400
  5. Step 5: Solve for x
    x = 625,079,984,400/506,632
  6. Step 6: Final answer
    x = 1,233,794.91

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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.