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Finding the Third Proportional to 279,274 and 602,822

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Solution

The third proportional to 279,274 and 602,822 is: 1,301,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,274 : 602,822 = 602,822 : x
  2. Step 2: Convert to fraction form
    279,274/602,822 = 602,822/x
  3. Step 3: Cross multiply
    279,274x = 602,822 × 602,822
  4. Step 4: Simplify right side
    279,274x = 363,394,363,684
  5. Step 5: Solve for x
    x = 363,394,363,684/279,274
  6. Step 6: Final answer
    x = 1,301,210.87

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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.