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Finding the Third Proportional to 258,492 and 558,494

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Solution

The third proportional to 258,492 and 558,494 is: 1,206,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,492 : 558,494 = 558,494 : x
  2. Step 2: Convert to fraction form
    258,492/558,494 = 558,494/x
  3. Step 3: Cross multiply
    258,492x = 558,494 × 558,494
  4. Step 4: Simplify right side
    258,492x = 311,915,548,036
  5. Step 5: Solve for x
    x = 311,915,548,036/258,492
  6. Step 6: Final answer
    x = 1,206,673.89

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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.