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Finding the Third Proportional to 258,230 and 566,302

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Solution

The third proportional to 258,230 and 566,302 is: 1,241,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,230 : 566,302 = 566,302 : x
  2. Step 2: Convert to fraction form
    258,230/566,302 = 566,302/x
  3. Step 3: Cross multiply
    258,230x = 566,302 × 566,302
  4. Step 4: Simplify right side
    258,230x = 320,697,955,204
  5. Step 5: Solve for x
    x = 320,697,955,204/258,230
  6. Step 6: Final answer
    x = 1,241,908.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.