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Finding the Third Proportional to 247,383 and 370,427

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Solution

The third proportional to 247,383 and 370,427 is: 554,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,383 : 370,427 = 370,427 : x
  2. Step 2: Convert to fraction form
    247,383/370,427 = 370,427/x
  3. Step 3: Cross multiply
    247,383x = 370,427 × 370,427
  4. Step 4: Simplify right side
    247,383x = 137,216,162,329
  5. Step 5: Solve for x
    x = 137,216,162,329/247,383
  6. Step 6: Final answer
    x = 554,670.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.