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Finding the Third Proportional to 364,234.50 and 552,913.50

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Solution

The third proportional to 364,234.50 and 552,913.50 is: 839,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,234.50 : 552,913.50 = 552,913.50 : x
  2. Step 2: Convert to fraction form
    364,234.50/552,913.50 = 552,913.50/x
  3. Step 3: Cross multiply
    364,234.50x = 552,913.50 × 552,913.50
  4. Step 4: Simplify right side
    364,234.50x = 305,713,338,482.25
  5. Step 5: Solve for x
    x = 305,713,338,482.25/364,234.50
  6. Step 6: Final answer
    x = 839,331.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.