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Finding the Third Proportional to 289,099.13 and 460,378.69

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Solution

The third proportional to 289,099.13 and 460,378.69 is: 733,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,099.13 : 460,378.69 = 460,378.69 : x
  2. Step 2: Convert to fraction form
    289,099.13/460,378.69 = 460,378.69/x
  3. Step 3: Cross multiply
    289,099.13x = 460,378.69 × 460,378.69
  4. Step 4: Simplify right side
    289,099.13x = 211,948,535,904.22
  5. Step 5: Solve for x
    x = 211,948,535,904.22/289,099.13
  6. Step 6: Final answer
    x = 733,134.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.