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Finding the Third Proportional to 363,709 and 790,372.50

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Solution

The third proportional to 363,709 and 790,372.50 is: 1,717,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,709 : 790,372.50 = 790,372.50 : x
  2. Step 2: Convert to fraction form
    363,709/790,372.50 = 790,372.50/x
  3. Step 3: Cross multiply
    363,709x = 790,372.50 × 790,372.50
  4. Step 4: Simplify right side
    363,709x = 624,688,688,756.25
  5. Step 5: Solve for x
    x = 624,688,688,756.25/363,709
  6. Step 6: Final answer
    x = 1,717,550.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.