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Finding the Third Proportional to 366,998.50 and 536,336

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Solution

The third proportional to 366,998.50 and 536,336 is: 783,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,998.50 : 536,336 = 536,336 : x
  2. Step 2: Convert to fraction form
    366,998.50/536,336 = 536,336/x
  3. Step 3: Cross multiply
    366,998.50x = 536,336 × 536,336
  4. Step 4: Simplify right side
    366,998.50x = 287,656,304,896
  5. Step 5: Solve for x
    x = 287,656,304,896/366,998.50
  6. Step 6: Final answer
    x = 783,807.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.