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Finding the Third Proportional to 465,215.91 and 543,537.84

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Solution

The third proportional to 465,215.91 and 543,537.84 is: 635,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,215.91 : 543,537.84 = 543,537.84 : x
  2. Step 2: Convert to fraction form
    465,215.91/543,537.84 = 543,537.84/x
  3. Step 3: Cross multiply
    465,215.91x = 543,537.84 × 543,537.84
  4. Step 4: Simplify right side
    465,215.91x = 295,433,387,588.40
  5. Step 5: Solve for x
    x = 295,433,387,588.40/465,215.91
  6. Step 6: Final answer
    x = 635,045.76

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.