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Finding the Third Proportional to 561,720 and 861,349.50

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Solution

The third proportional to 561,720 and 861,349.50 is: 1,320,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,720 : 861,349.50 = 861,349.50 : x
  2. Step 2: Convert to fraction form
    561,720/861,349.50 = 861,349.50/x
  3. Step 3: Cross multiply
    561,720x = 861,349.50 × 861,349.50
  4. Step 4: Simplify right side
    561,720x = 741,922,961,150.25
  5. Step 5: Solve for x
    x = 741,922,961,150.25/561,720
  6. Step 6: Final answer
    x = 1,320,805.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.