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Finding the Third Proportional to 201,135 and 440,674

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Solution

The third proportional to 201,135 and 440,674 is: 965,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,135 : 440,674 = 440,674 : x
  2. Step 2: Convert to fraction form
    201,135/440,674 = 440,674/x
  3. Step 3: Cross multiply
    201,135x = 440,674 × 440,674
  4. Step 4: Simplify right side
    201,135x = 194,193,574,276
  5. Step 5: Solve for x
    x = 194,193,574,276/201,135
  6. Step 6: Final answer
    x = 965,488.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.