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Finding the Third Proportional to 227,207.74 and 492,281.30

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Solution

The third proportional to 227,207.74 and 492,281.30 is: 1,066,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,207.74 : 492,281.30 = 492,281.30 : x
  2. Step 2: Convert to fraction form
    227,207.74/492,281.30 = 492,281.30/x
  3. Step 3: Cross multiply
    227,207.74x = 492,281.30 × 492,281.30
  4. Step 4: Simplify right side
    227,207.74x = 242,340,875,252.93
  5. Step 5: Solve for x
    x = 242,340,875,252.93/227,207.74
  6. Step 6: Final answer
    x = 1,066,604.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.