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Finding the Third Proportional to 307,244 and 476,850

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Solution

The third proportional to 307,244 and 476,850 is: 740,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,244 : 476,850 = 476,850 : x
  2. Step 2: Convert to fraction form
    307,244/476,850 = 476,850/x
  3. Step 3: Cross multiply
    307,244x = 476,850 × 476,850
  4. Step 4: Simplify right side
    307,244x = 227,385,922,500
  5. Step 5: Solve for x
    x = 227,385,922,500/307,244
  6. Step 6: Final answer
    x = 740,082.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.