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Finding the Third Proportional to 305,542 and 448,948

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Solution

The third proportional to 305,542 and 448,948 is: 659,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,542 : 448,948 = 448,948 : x
  2. Step 2: Convert to fraction form
    305,542/448,948 = 448,948/x
  3. Step 3: Cross multiply
    305,542x = 448,948 × 448,948
  4. Step 4: Simplify right side
    305,542x = 201,554,306,704
  5. Step 5: Solve for x
    x = 201,554,306,704/305,542
  6. Step 6: Final answer
    x = 659,661.54

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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.