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Finding the Third Proportional to 262,428.75 and 369,807.75

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Solution

The third proportional to 262,428.75 and 369,807.75 is: 521,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.75 : 369,807.75 = 369,807.75 : x
  2. Step 2: Convert to fraction form
    262,428.75/369,807.75 = 369,807.75/x
  3. Step 3: Cross multiply
    262,428.75x = 369,807.75 × 369,807.75
  4. Step 4: Simplify right side
    262,428.75x = 136,757,771,960.06
  5. Step 5: Solve for x
    x = 136,757,771,960.06/262,428.75
  6. Step 6: Final answer
    x = 521,123.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.