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Finding the Third Proportional to 279,304 and 607,208

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Solution

The third proportional to 279,304 and 607,208 is: 1,320,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,304 : 607,208 = 607,208 : x
  2. Step 2: Convert to fraction form
    279,304/607,208 = 607,208/x
  3. Step 3: Cross multiply
    279,304x = 607,208 × 607,208
  4. Step 4: Simplify right side
    279,304x = 368,701,555,264
  5. Step 5: Solve for x
    x = 368,701,555,264/279,304
  6. Step 6: Final answer
    x = 1,320,072.59

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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.