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Finding the Third Proportional to 227,616 and 497,271

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Solution

The third proportional to 227,616 and 497,271 is: 1,086,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,616 : 497,271 = 497,271 : x
  2. Step 2: Convert to fraction form
    227,616/497,271 = 497,271/x
  3. Step 3: Cross multiply
    227,616x = 497,271 × 497,271
  4. Step 4: Simplify right side
    227,616x = 247,278,447,441
  5. Step 5: Solve for x
    x = 247,278,447,441/227,616
  6. Step 6: Final answer
    x = 1,086,384.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.