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Finding the Third Proportional to 398,761.50 and 875,024

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Solution

The third proportional to 398,761.50 and 875,024 is: 1,920,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,761.50 : 875,024 = 875,024 : x
  2. Step 2: Convert to fraction form
    398,761.50/875,024 = 875,024/x
  3. Step 3: Cross multiply
    398,761.50x = 875,024 × 875,024
  4. Step 4: Simplify right side
    398,761.50x = 765,667,000,576
  5. Step 5: Solve for x
    x = 765,667,000,576/398,761.50
  6. Step 6: Final answer
    x = 1,920,112.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.