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Finding the Third Proportional to 370,163 and 557,981

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Solution

The third proportional to 370,163 and 557,981 is: 841,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,163 : 557,981 = 557,981 : x
  2. Step 2: Convert to fraction form
    370,163/557,981 = 557,981/x
  3. Step 3: Cross multiply
    370,163x = 557,981 × 557,981
  4. Step 4: Simplify right side
    370,163x = 311,342,796,361
  5. Step 5: Solve for x
    x = 311,342,796,361/370,163
  6. Step 6: Final answer
    x = 841,096.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.