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Finding the Third Proportional to 463,333.50 and 739,964.25

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Solution

The third proportional to 463,333.50 and 739,964.25 is: 1,181,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,333.50 : 739,964.25 = 739,964.25 : x
  2. Step 2: Convert to fraction form
    463,333.50/739,964.25 = 739,964.25/x
  3. Step 3: Cross multiply
    463,333.50x = 739,964.25 × 739,964.25
  4. Step 4: Simplify right side
    463,333.50x = 547,547,091,278.06
  5. Step 5: Solve for x
    x = 547,547,091,278.06/463,333.50
  6. Step 6: Final answer
    x = 1,181,755.89

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.