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Finding the Third Proportional to 227,783 and 498,466

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Solution

The third proportional to 227,783 and 498,466 is: 1,090,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,783 : 498,466 = 498,466 : x
  2. Step 2: Convert to fraction form
    227,783/498,466 = 498,466/x
  3. Step 3: Cross multiply
    227,783x = 498,466 × 498,466
  4. Step 4: Simplify right side
    227,783x = 248,468,353,156
  5. Step 5: Solve for x
    x = 248,468,353,156/227,783
  6. Step 6: Final answer
    x = 1,090,811.66

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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.