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Finding the Third Proportional to 307,290 and 482,048

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Solution

The third proportional to 307,290 and 482,048 is: 756,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,290 : 482,048 = 482,048 : x
  2. Step 2: Convert to fraction form
    307,290/482,048 = 482,048/x
  3. Step 3: Cross multiply
    307,290x = 482,048 × 482,048
  4. Step 4: Simplify right side
    307,290x = 232,370,274,304
  5. Step 5: Solve for x
    x = 232,370,274,304/307,290
  6. Step 6: Final answer
    x = 756,192.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.