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Finding the Third Proportional to 266,530.50 and 575,736.75

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Solution

The third proportional to 266,530.50 and 575,736.75 is: 1,243,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530.50 : 575,736.75 = 575,736.75 : x
  2. Step 2: Convert to fraction form
    266,530.50/575,736.75 = 575,736.75/x
  3. Step 3: Cross multiply
    266,530.50x = 575,736.75 × 575,736.75
  4. Step 4: Simplify right side
    266,530.50x = 331,472,805,300.56
  5. Step 5: Solve for x
    x = 331,472,805,300.56/266,530.50
  6. Step 6: Final answer
    x = 1,243,658.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.