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Finding the Third Proportional to 266,346 and 577,044

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Solution

The third proportional to 266,346 and 577,044 is: 1,250,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,346 : 577,044 = 577,044 : x
  2. Step 2: Convert to fraction form
    266,346/577,044 = 577,044/x
  3. Step 3: Cross multiply
    266,346x = 577,044 × 577,044
  4. Step 4: Simplify right side
    266,346x = 332,979,777,936
  5. Step 5: Solve for x
    x = 332,979,777,936/266,346
  6. Step 6: Final answer
    x = 1,250,177.51

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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.