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Finding the Third Proportional to 235,959.19 and 511,284.38

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Solution

The third proportional to 235,959.19 and 511,284.38 is: 1,107,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,959.19 : 511,284.38 = 511,284.38 : x
  2. Step 2: Convert to fraction form
    235,959.19/511,284.38 = 511,284.38/x
  3. Step 3: Cross multiply
    235,959.19x = 511,284.38 × 511,284.38
  4. Step 4: Simplify right side
    235,959.19x = 261,411,712,119.14
  5. Step 5: Solve for x
    x = 261,411,712,119.14/235,959.19
  6. Step 6: Final answer
    x = 1,107,868.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.