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Finding the Third Proportional to 266,695 and 577,858

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Solution

The third proportional to 266,695 and 577,858 is: 1,252,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,695 : 577,858 = 577,858 : x
  2. Step 2: Convert to fraction form
    266,695/577,858 = 577,858/x
  3. Step 3: Cross multiply
    266,695x = 577,858 × 577,858
  4. Step 4: Simplify right side
    266,695x = 333,919,868,164
  5. Step 5: Solve for x
    x = 333,919,868,164/266,695
  6. Step 6: Final answer
    x = 1,252,066.47

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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.