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Finding the Third Proportional to 266,027.63 and 577,266.75

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Solution

The third proportional to 266,027.63 and 577,266.75 is: 1,252,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,027.63 : 577,266.75 = 577,266.75 : x
  2. Step 2: Convert to fraction form
    266,027.63/577,266.75 = 577,266.75/x
  3. Step 3: Cross multiply
    266,027.63x = 577,266.75 × 577,266.75
  4. Step 4: Simplify right side
    266,027.63x = 333,236,900,655.56
  5. Step 5: Solve for x
    x = 333,236,900,655.56/266,027.63
  6. Step 6: Final answer
    x = 1,252,640.21

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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.