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Finding the Third Proportional to 266,004 and 591,057

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Solution

The third proportional to 266,004 and 591,057 is: 1,313,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004 : 591,057 = 591,057 : x
  2. Step 2: Convert to fraction form
    266,004/591,057 = 591,057/x
  3. Step 3: Cross multiply
    266,004x = 591,057 × 591,057
  4. Step 4: Simplify right side
    266,004x = 349,348,377,249
  5. Step 5: Solve for x
    x = 349,348,377,249/266,004
  6. Step 6: Final answer
    x = 1,313,320.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.