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Finding the Third Proportional to 245,046.75 and 519,834

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Solution

The third proportional to 245,046.75 and 519,834 is: 1,102,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,046.75 : 519,834 = 519,834 : x
  2. Step 2: Convert to fraction form
    245,046.75/519,834 = 519,834/x
  3. Step 3: Cross multiply
    245,046.75x = 519,834 × 519,834
  4. Step 4: Simplify right side
    245,046.75x = 270,227,387,556
  5. Step 5: Solve for x
    x = 270,227,387,556/245,046.75
  6. Step 6: Final answer
    x = 1,102,758.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.