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Finding the Third Proportional to 395,299.50 and 869,317.13

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Solution

The third proportional to 395,299.50 and 869,317.13 is: 1,911,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,299.50 : 869,317.13 = 869,317.13 : x
  2. Step 2: Convert to fraction form
    395,299.50/869,317.13 = 869,317.13/x
  3. Step 3: Cross multiply
    395,299.50x = 869,317.13 × 869,317.13
  4. Step 4: Simplify right side
    395,299.50x = 755,712,263,818.27
  5. Step 5: Solve for x
    x = 755,712,263,818.27/395,299.50
  6. Step 6: Final answer
    x = 1,911,746.07

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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.