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Finding the Third Proportional to 444,156 and 583,134

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Solution

The third proportional to 444,156 and 583,134 is: 765,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,156 : 583,134 = 583,134 : x
  2. Step 2: Convert to fraction form
    444,156/583,134 = 583,134/x
  3. Step 3: Cross multiply
    444,156x = 583,134 × 583,134
  4. Step 4: Simplify right side
    444,156x = 340,045,261,956
  5. Step 5: Solve for x
    x = 340,045,261,956/444,156
  6. Step 6: Final answer
    x = 765,598.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.