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Finding the Third Proportional to 486,566 and 774,817

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Solution

The third proportional to 486,566 and 774,817 is: 1,233,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,566 : 774,817 = 774,817 : x
  2. Step 2: Convert to fraction form
    486,566/774,817 = 774,817/x
  3. Step 3: Cross multiply
    486,566x = 774,817 × 774,817
  4. Step 4: Simplify right side
    486,566x = 600,341,383,489
  5. Step 5: Solve for x
    x = 600,341,383,489/486,566
  6. Step 6: Final answer
    x = 1,233,833.40

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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.