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Finding the Third Proportional to 237,737.44 and 512,925.19

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Solution

The third proportional to 237,737.44 and 512,925.19 is: 1,106,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,737.44 : 512,925.19 = 512,925.19 : x
  2. Step 2: Convert to fraction form
    237,737.44/512,925.19 = 512,925.19/x
  3. Step 3: Cross multiply
    237,737.44x = 512,925.19 × 512,925.19
  4. Step 4: Simplify right side
    237,737.44x = 263,092,247,971.91
  5. Step 5: Solve for x
    x = 263,092,247,971.91/237,737.44
  6. Step 6: Final answer
    x = 1,106,650.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.