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Finding the Third Proportional to 300,000.50 and 633,724

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Solution

The third proportional to 300,000.50 and 633,724 is: 1,338,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,000.50 : 633,724 = 633,724 : x
  2. Step 2: Convert to fraction form
    300,000.50/633,724 = 633,724/x
  3. Step 3: Cross multiply
    300,000.50x = 633,724 × 633,724
  4. Step 4: Simplify right side
    300,000.50x = 401,606,108,176
  5. Step 5: Solve for x
    x = 401,606,108,176/300,000.50
  6. Step 6: Final answer
    x = 1,338,684.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.