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Finding the Third Proportional to 335,512.13 and 721,072.13

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Solution

The third proportional to 335,512.13 and 721,072.13 is: 1,549,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,512.13 : 721,072.13 = 721,072.13 : x
  2. Step 2: Convert to fraction form
    335,512.13/721,072.13 = 721,072.13/x
  3. Step 3: Cross multiply
    335,512.13x = 721,072.13 × 721,072.13
  4. Step 4: Simplify right side
    335,512.13x = 519,945,009,452.02
  5. Step 5: Solve for x
    x = 519,945,009,452.02/335,512.13
  6. Step 6: Final answer
    x = 1,549,705.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.