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Finding the Third Proportional to 226,560 and 498,048

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Solution

The third proportional to 226,560 and 498,048 is: 1,094,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,560 : 498,048 = 498,048 : x
  2. Step 2: Convert to fraction form
    226,560/498,048 = 498,048/x
  3. Step 3: Cross multiply
    226,560x = 498,048 × 498,048
  4. Step 4: Simplify right side
    226,560x = 248,051,810,304
  5. Step 5: Solve for x
    x = 248,051,810,304/226,560
  6. Step 6: Final answer
    x = 1,094,861.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.