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Finding the Third Proportional to 456,656.25 and 733,769.25

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Solution

The third proportional to 456,656.25 and 733,769.25 is: 1,179,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,656.25 : 733,769.25 = 733,769.25 : x
  2. Step 2: Convert to fraction form
    456,656.25/733,769.25 = 733,769.25/x
  3. Step 3: Cross multiply
    456,656.25x = 733,769.25 × 733,769.25
  4. Step 4: Simplify right side
    456,656.25x = 538,417,312,245.56
  5. Step 5: Solve for x
    x = 538,417,312,245.56/456,656.25
  6. Step 6: Final answer
    x = 1,179,042.91

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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.