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Finding the Third Proportional to 456,660.75 and 733,774.50

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Solution

The third proportional to 456,660.75 and 733,774.50 is: 1,179,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,660.75 : 733,774.50 = 733,774.50 : x
  2. Step 2: Convert to fraction form
    456,660.75/733,774.50 = 733,774.50/x
  3. Step 3: Cross multiply
    456,660.75x = 733,774.50 × 733,774.50
  4. Step 4: Simplify right side
    456,660.75x = 538,425,016,850.25
  5. Step 5: Solve for x
    x = 538,425,016,850.25/456,660.75
  6. Step 6: Final answer
    x = 1,179,048.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.