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Finding the Third Proportional to 480,174.75 and 1,028,811.38

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Solution

The third proportional to 480,174.75 and 1,028,811.38 is: 2,204,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,174.75 : 1,028,811.38 = 1,028,811.38 : x
  2. Step 2: Convert to fraction form
    480,174.75/1,028,811.38 = 1,028,811.38/x
  3. Step 3: Cross multiply
    480,174.75x = 1,028,811.38 × 1,028,811.38
  4. Step 4: Simplify right side
    480,174.75x = 1,058,452,845,329.39
  5. Step 5: Solve for x
    x = 1,058,452,845,329.39/480,174.75
  6. Step 6: Final answer
    x = 2,204,307.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.