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Finding the Third Proportional to 595,315.83 and 1,160,697.09

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Solution

The third proportional to 595,315.83 and 1,160,697.09 is: 2,263,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,315.83 : 1,160,697.09 = 1,160,697.09 : x
  2. Step 2: Convert to fraction form
    595,315.83/1,160,697.09 = 1,160,697.09/x
  3. Step 3: Cross multiply
    595,315.83x = 1,160,697.09 × 1,160,697.09
  4. Step 4: Simplify right side
    595,315.83x = 1,347,217,743,439.70
  5. Step 5: Solve for x
    x = 1,347,217,743,439.70/595,315.83
  6. Step 6: Final answer
    x = 2,263,030.28

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.