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Finding the Third Proportional to 220,763.25 and 491,490

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Solution

The third proportional to 220,763.25 and 491,490 is: 1,094,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,763.25 : 491,490 = 491,490 : x
  2. Step 2: Convert to fraction form
    220,763.25/491,490 = 491,490/x
  3. Step 3: Cross multiply
    220,763.25x = 491,490 × 491,490
  4. Step 4: Simplify right side
    220,763.25x = 241,562,420,100
  5. Step 5: Solve for x
    x = 241,562,420,100/220,763.25
  6. Step 6: Final answer
    x = 1,094,214.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.