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Finding the Third Proportional to 304,795.41 and 669,923.16

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Solution

The third proportional to 304,795.41 and 669,923.16 is: 1,472,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,795.41 : 669,923.16 = 669,923.16 : x
  2. Step 2: Convert to fraction form
    304,795.41/669,923.16 = 669,923.16/x
  3. Step 3: Cross multiply
    304,795.41x = 669,923.16 × 669,923.16
  4. Step 4: Simplify right side
    304,795.41x = 448,797,035,279.96
  5. Step 5: Solve for x
    x = 448,797,035,279.96/304,795.41
  6. Step 6: Final answer
    x = 1,472,453.41

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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.