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Finding the Third Proportional to 465,574 and 743,868

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Solution

The third proportional to 465,574 and 743,868 is: 1,188,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,574 : 743,868 = 743,868 : x
  2. Step 2: Convert to fraction form
    465,574/743,868 = 743,868/x
  3. Step 3: Cross multiply
    465,574x = 743,868 × 743,868
  4. Step 4: Simplify right side
    465,574x = 553,339,601,424
  5. Step 5: Solve for x
    x = 553,339,601,424/465,574
  6. Step 6: Final answer
    x = 1,188,510.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.