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Finding the Third Proportional to 466,617 and 744,234

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Solution

The third proportional to 466,617 and 744,234 is: 1,187,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,617 : 744,234 = 744,234 : x
  2. Step 2: Convert to fraction form
    466,617/744,234 = 744,234/x
  3. Step 3: Cross multiply
    466,617x = 744,234 × 744,234
  4. Step 4: Simplify right side
    466,617x = 553,884,246,756
  5. Step 5: Solve for x
    x = 553,884,246,756/466,617
  6. Step 6: Final answer
    x = 1,187,021.15

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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.