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Finding the Third Proportional to 486,570 and 774,823

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Solution

The third proportional to 486,570 and 774,823 is: 1,233,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,570 : 774,823 = 774,823 : x
  2. Step 2: Convert to fraction form
    486,570/774,823 = 774,823/x
  3. Step 3: Cross multiply
    486,570x = 774,823 × 774,823
  4. Step 4: Simplify right side
    486,570x = 600,350,681,329
  5. Step 5: Solve for x
    x = 600,350,681,329/486,570
  6. Step 6: Final answer
    x = 1,233,842.37

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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.