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Finding the Third Proportional to 305,274 and 448,758

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Solution

The third proportional to 305,274 and 448,758 is: 659,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274 : 448,758 = 448,758 : x
  2. Step 2: Convert to fraction form
    305,274/448,758 = 448,758/x
  3. Step 3: Cross multiply
    305,274x = 448,758 × 448,758
  4. Step 4: Simplify right side
    305,274x = 201,383,742,564
  5. Step 5: Solve for x
    x = 201,383,742,564/305,274
  6. Step 6: Final answer
    x = 659,681.93

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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.