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Finding the Third Proportional to 279,476 and 606,214

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Solution

The third proportional to 279,476 and 606,214 is: 1,314,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,476 : 606,214 = 606,214 : x
  2. Step 2: Convert to fraction form
    279,476/606,214 = 606,214/x
  3. Step 3: Cross multiply
    279,476x = 606,214 × 606,214
  4. Step 4: Simplify right side
    279,476x = 367,495,413,796
  5. Step 5: Solve for x
    x = 367,495,413,796/279,476
  6. Step 6: Final answer
    x = 1,314,944.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.