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Finding the Third Proportional to 241,680 and 530,048

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Solution

The third proportional to 241,680 and 530,048 is: 1,162,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,680 : 530,048 = 530,048 : x
  2. Step 2: Convert to fraction form
    241,680/530,048 = 530,048/x
  3. Step 3: Cross multiply
    241,680x = 530,048 × 530,048
  4. Step 4: Simplify right side
    241,680x = 280,950,882,304
  5. Step 5: Solve for x
    x = 280,950,882,304/241,680
  6. Step 6: Final answer
    x = 1,162,491.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.