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Finding the Third Proportional to 399,697 and 856,373.50

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Solution

The third proportional to 399,697 and 856,373.50 is: 1,834,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,697 : 856,373.50 = 856,373.50 : x
  2. Step 2: Convert to fraction form
    399,697/856,373.50 = 856,373.50/x
  3. Step 3: Cross multiply
    399,697x = 856,373.50 × 856,373.50
  4. Step 4: Simplify right side
    399,697x = 733,375,571,502.25
  5. Step 5: Solve for x
    x = 733,375,571,502.25/399,697
  6. Step 6: Final answer
    x = 1,834,828.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.