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Finding the Third Proportional to 467,170.13 and 720,676.13

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Solution

The third proportional to 467,170.13 and 720,676.13 is: 1,111,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,170.13 : 720,676.13 = 720,676.13 : x
  2. Step 2: Convert to fraction form
    467,170.13/720,676.13 = 720,676.13/x
  3. Step 3: Cross multiply
    467,170.13x = 720,676.13 × 720,676.13
  4. Step 4: Simplify right side
    467,170.13x = 519,374,077,145.02
  5. Step 5: Solve for x
    x = 519,374,077,145.02/467,170.13
  6. Step 6: Final answer
    x = 1,111,745.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.