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Finding the Third Proportional to 223,491.75 and 489,498

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Solution

The third proportional to 223,491.75 and 489,498 is: 1,072,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,491.75 : 489,498 = 489,498 : x
  2. Step 2: Convert to fraction form
    223,491.75/489,498 = 489,498/x
  3. Step 3: Cross multiply
    223,491.75x = 489,498 × 489,498
  4. Step 4: Simplify right side
    223,491.75x = 239,608,292,004
  5. Step 5: Solve for x
    x = 239,608,292,004/223,491.75
  6. Step 6: Final answer
    x = 1,072,112.47

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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.