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Finding the Third Proportional to 212,935.50 and 465,716.25

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Solution

The third proportional to 212,935.50 and 465,716.25 is: 1,018,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,935.50 : 465,716.25 = 465,716.25 : x
  2. Step 2: Convert to fraction form
    212,935.50/465,716.25 = 465,716.25/x
  3. Step 3: Cross multiply
    212,935.50x = 465,716.25 × 465,716.25
  4. Step 4: Simplify right side
    212,935.50x = 216,891,625,514.06
  5. Step 5: Solve for x
    x = 216,891,625,514.06/212,935.50
  6. Step 6: Final answer
    x = 1,018,578.99

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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.