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Finding the Third Proportional to 304,795.88 and 669,924.25

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Solution

The third proportional to 304,795.88 and 669,924.25 is: 1,472,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,795.88 : 669,924.25 = 669,924.25 : x
  2. Step 2: Convert to fraction form
    304,795.88/669,924.25 = 669,924.25/x
  3. Step 3: Cross multiply
    304,795.88x = 669,924.25 × 669,924.25
  4. Step 4: Simplify right side
    304,795.88x = 448,798,500,738.06
  5. Step 5: Solve for x
    x = 448,798,500,738.06/304,795.88
  6. Step 6: Final answer
    x = 1,472,455.95

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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.