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Finding the Third Proportional to 266,206 and 577,324

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Solution

The third proportional to 266,206 and 577,324 is: 1,252,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,206 : 577,324 = 577,324 : x
  2. Step 2: Convert to fraction form
    266,206/577,324 = 577,324/x
  3. Step 3: Cross multiply
    266,206x = 577,324 × 577,324
  4. Step 4: Simplify right side
    266,206x = 333,303,000,976
  5. Step 5: Solve for x
    x = 333,303,000,976/266,206
  6. Step 6: Final answer
    x = 1,252,049.17

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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.