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Finding the Third Proportional to 322,764 and 709,225.50

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Solution

The third proportional to 322,764 and 709,225.50 is: 1,558,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,764 : 709,225.50 = 709,225.50 : x
  2. Step 2: Convert to fraction form
    322,764/709,225.50 = 709,225.50/x
  3. Step 3: Cross multiply
    322,764x = 709,225.50 × 709,225.50
  4. Step 4: Simplify right side
    322,764x = 503,000,809,850.25
  5. Step 5: Solve for x
    x = 503,000,809,850.25/322,764
  6. Step 6: Final answer
    x = 1,558,416.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.