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Finding the Third Proportional to 237,579 and 479,047

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Solution

The third proportional to 237,579 and 479,047 is: 965,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,579 : 479,047 = 479,047 : x
  2. Step 2: Convert to fraction form
    237,579/479,047 = 479,047/x
  3. Step 3: Cross multiply
    237,579x = 479,047 × 479,047
  4. Step 4: Simplify right side
    237,579x = 229,486,028,209
  5. Step 5: Solve for x
    x = 229,486,028,209/237,579
  6. Step 6: Final answer
    x = 965,935.66

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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.