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Finding the Third Proportional to 227,901 and 498,708

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Solution

The third proportional to 227,901 and 498,708 is: 1,091,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,901 : 498,708 = 498,708 : x
  2. Step 2: Convert to fraction form
    227,901/498,708 = 498,708/x
  3. Step 3: Cross multiply
    227,901x = 498,708 × 498,708
  4. Step 4: Simplify right side
    227,901x = 248,709,669,264
  5. Step 5: Solve for x
    x = 248,709,669,264/227,901
  6. Step 6: Final answer
    x = 1,091,305.74

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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.