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Finding the Third Proportional to 227,864 and 498,633

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Solution

The third proportional to 227,864 and 498,633 is: 1,091,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,864 : 498,633 = 498,633 : x
  2. Step 2: Convert to fraction form
    227,864/498,633 = 498,633/x
  3. Step 3: Cross multiply
    227,864x = 498,633 × 498,633
  4. Step 4: Simplify right side
    227,864x = 248,634,868,689
  5. Step 5: Solve for x
    x = 248,634,868,689/227,864
  6. Step 6: Final answer
    x = 1,091,154.67

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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.