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Finding the Third Proportional to 245,793 and 370,422

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Solution

The third proportional to 245,793 and 370,422 is: 558,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,793 : 370,422 = 370,422 : x
  2. Step 2: Convert to fraction form
    245,793/370,422 = 370,422/x
  3. Step 3: Cross multiply
    245,793x = 370,422 × 370,422
  4. Step 4: Simplify right side
    245,793x = 137,212,458,084
  5. Step 5: Solve for x
    x = 137,212,458,084/245,793
  6. Step 6: Final answer
    x = 558,243.96

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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.