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Finding the Third Proportional to 266,200.03 and 577,314.56

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Solution

The third proportional to 266,200.03 and 577,314.56 is: 1,252,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,200.03 : 577,314.56 = 577,314.56 : x
  2. Step 2: Convert to fraction form
    266,200.03/577,314.56 = 577,314.56/x
  3. Step 3: Cross multiply
    266,200.03x = 577,314.56 × 577,314.56
  4. Step 4: Simplify right side
    266,200.03x = 333,292,104,074.57
  5. Step 5: Solve for x
    x = 333,292,104,074.57/266,200.03
  6. Step 6: Final answer
    x = 1,252,036.31

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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.