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Finding the Third Proportional to 486,554 and 774,802

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Solution

The third proportional to 486,554 and 774,802 is: 1,233,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,554 : 774,802 = 774,802 : x
  2. Step 2: Convert to fraction form
    486,554/774,802 = 774,802/x
  3. Step 3: Cross multiply
    486,554x = 774,802 × 774,802
  4. Step 4: Simplify right side
    486,554x = 600,318,139,204
  5. Step 5: Solve for x
    x = 600,318,139,204/486,554
  6. Step 6: Final answer
    x = 1,233,816.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.