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Finding the Third Proportional to 266,764 and 577,816

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Solution

The third proportional to 266,764 and 577,816 is: 1,251,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,764 : 577,816 = 577,816 : x
  2. Step 2: Convert to fraction form
    266,764/577,816 = 577,816/x
  3. Step 3: Cross multiply
    266,764x = 577,816 × 577,816
  4. Step 4: Simplify right side
    266,764x = 333,871,329,856
  5. Step 5: Solve for x
    x = 333,871,329,856/266,764
  6. Step 6: Final answer
    x = 1,251,560.67

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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.