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Finding the Third Proportional to 335,221.88 and 727,588.13

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Solution

The third proportional to 335,221.88 and 727,588.13 is: 1,579,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,221.88 : 727,588.13 = 727,588.13 : x
  2. Step 2: Convert to fraction form
    335,221.88/727,588.13 = 727,588.13/x
  3. Step 3: Cross multiply
    335,221.88x = 727,588.13 × 727,588.13
  4. Step 4: Simplify right side
    335,221.88x = 529,384,479,641.02
  5. Step 5: Solve for x
    x = 529,384,479,641.02/335,221.88
  6. Step 6: Final answer
    x = 1,579,206.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.