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Finding the Third Proportional to 305,272.13 and 448,760.81

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Solution

The third proportional to 305,272.13 and 448,760.81 is: 659,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,272.13 : 448,760.81 = 448,760.81 : x
  2. Step 2: Convert to fraction form
    305,272.13/448,760.81 = 448,760.81/x
  3. Step 3: Cross multiply
    305,272.13x = 448,760.81 × 448,760.81
  4. Step 4: Simplify right side
    305,272.13x = 201,386,266,835.66
  5. Step 5: Solve for x
    x = 201,386,266,835.66/305,272.13
  6. Step 6: Final answer
    x = 659,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.