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Finding the Third Proportional to 227,802 and 362,048

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Solution

The third proportional to 227,802 and 362,048 is: 575,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802 : 362,048 = 362,048 : x
  2. Step 2: Convert to fraction form
    227,802/362,048 = 362,048/x
  3. Step 3: Cross multiply
    227,802x = 362,048 × 362,048
  4. Step 4: Simplify right side
    227,802x = 131,078,754,304
  5. Step 5: Solve for x
    x = 131,078,754,304/227,802
  6. Step 6: Final answer
    x = 575,406.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.