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Finding the Third Proportional to 225,768 and 480,768

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Solution

The third proportional to 225,768 and 480,768 is: 1,023,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768 : 480,768 = 480,768 : x
  2. Step 2: Convert to fraction form
    225,768/480,768 = 480,768/x
  3. Step 3: Cross multiply
    225,768x = 480,768 × 480,768
  4. Step 4: Simplify right side
    225,768x = 231,137,869,824
  5. Step 5: Solve for x
    x = 231,137,869,824/225,768
  6. Step 6: Final answer
    x = 1,023,784.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.