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Finding the Third Proportional to 305,527.78 and 448,936.17

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Solution

The third proportional to 305,527.78 and 448,936.17 is: 659,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,527.78 : 448,936.17 = 448,936.17 : x
  2. Step 2: Convert to fraction form
    305,527.78/448,936.17 = 448,936.17/x
  3. Step 3: Cross multiply
    305,527.78x = 448,936.17 × 448,936.17
  4. Step 4: Simplify right side
    305,527.78x = 201,543,686,417.78
  5. Step 5: Solve for x
    x = 201,543,686,417.78/305,527.78
  6. Step 6: Final answer
    x = 659,657.48

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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.