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Finding the Third Proportional to 471,184 and 750,474

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Solution

The third proportional to 471,184 and 750,474 is: 1,195,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,184 : 750,474 = 750,474 : x
  2. Step 2: Convert to fraction form
    471,184/750,474 = 750,474/x
  3. Step 3: Cross multiply
    471,184x = 750,474 × 750,474
  4. Step 4: Simplify right side
    471,184x = 563,211,224,676
  5. Step 5: Solve for x
    x = 563,211,224,676/471,184
  6. Step 6: Final answer
    x = 1,195,310.59

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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.