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Finding the Third Proportional to 508,554 and 787,941

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Solution

The third proportional to 508,554 and 787,941 is: 1,220,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,554 : 787,941 = 787,941 : x
  2. Step 2: Convert to fraction form
    508,554/787,941 = 787,941/x
  3. Step 3: Cross multiply
    508,554x = 787,941 × 787,941
  4. Step 4: Simplify right side
    508,554x = 620,851,019,481
  5. Step 5: Solve for x
    x = 620,851,019,481/508,554
  6. Step 6: Final answer
    x = 1,220,816.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.