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Finding the Third Proportional to 244,080 and 377,898

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Solution

The third proportional to 244,080 and 377,898 is: 585,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,080 : 377,898 = 377,898 : x
  2. Step 2: Convert to fraction form
    244,080/377,898 = 377,898/x
  3. Step 3: Cross multiply
    244,080x = 377,898 × 377,898
  4. Step 4: Simplify right side
    244,080x = 142,806,898,404
  5. Step 5: Solve for x
    x = 142,806,898,404/244,080
  6. Step 6: Final answer
    x = 585,082.34

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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.