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Finding the Third Proportional to 465,566 and 743,852

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Solution

The third proportional to 465,566 and 743,852 is: 1,188,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,566 : 743,852 = 743,852 : x
  2. Step 2: Convert to fraction form
    465,566/743,852 = 743,852/x
  3. Step 3: Cross multiply
    465,566x = 743,852 × 743,852
  4. Step 4: Simplify right side
    465,566x = 553,315,797,904
  5. Step 5: Solve for x
    x = 553,315,797,904/465,566
  6. Step 6: Final answer
    x = 1,188,479.82

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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.