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Finding the Third Proportional to 279,298 and 602,876

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Solution

The third proportional to 279,298 and 602,876 is: 1,301,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,298 : 602,876 = 602,876 : x
  2. Step 2: Convert to fraction form
    279,298/602,876 = 602,876/x
  3. Step 3: Cross multiply
    279,298x = 602,876 × 602,876
  4. Step 4: Simplify right side
    279,298x = 363,459,471,376
  5. Step 5: Solve for x
    x = 363,459,471,376/279,298
  6. Step 6: Final answer
    x = 1,301,332.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.