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Finding the Third Proportional to 488,219 and 739,214

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Solution

The third proportional to 488,219 and 739,214 is: 1,119,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,219 : 739,214 = 739,214 : x
  2. Step 2: Convert to fraction form
    488,219/739,214 = 739,214/x
  3. Step 3: Cross multiply
    488,219x = 739,214 × 739,214
  4. Step 4: Simplify right side
    488,219x = 546,437,337,796
  5. Step 5: Solve for x
    x = 546,437,337,796/488,219
  6. Step 6: Final answer
    x = 1,119,246.36

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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.