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Finding the Third Proportional to 254,684 and 560,224

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Solution

The third proportional to 254,684 and 560,224 is: 1,232,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,684 : 560,224 = 560,224 : x
  2. Step 2: Convert to fraction form
    254,684/560,224 = 560,224/x
  3. Step 3: Cross multiply
    254,684x = 560,224 × 560,224
  4. Step 4: Simplify right side
    254,684x = 313,850,930,176
  5. Step 5: Solve for x
    x = 313,850,930,176/254,684
  6. Step 6: Final answer
    x = 1,232,315.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.