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Finding the Third Proportional to 279,305 and 607,210

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Solution

The third proportional to 279,305 and 607,210 is: 1,320,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,305 : 607,210 = 607,210 : x
  2. Step 2: Convert to fraction form
    279,305/607,210 = 607,210/x
  3. Step 3: Cross multiply
    279,305x = 607,210 × 607,210
  4. Step 4: Simplify right side
    279,305x = 368,703,984,100
  5. Step 5: Solve for x
    x = 368,703,984,100/279,305
  6. Step 6: Final answer
    x = 1,320,076.56

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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.