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Finding the Third Proportional to 237,577 and 479,043

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Solution

The third proportional to 237,577 and 479,043 is: 965,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,577 : 479,043 = 479,043 : x
  2. Step 2: Convert to fraction form
    237,577/479,043 = 479,043/x
  3. Step 3: Cross multiply
    237,577x = 479,043 × 479,043
  4. Step 4: Simplify right side
    237,577x = 229,482,195,849
  5. Step 5: Solve for x
    x = 229,482,195,849/237,577
  6. Step 6: Final answer
    x = 965,927.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.