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Finding the Third Proportional to 233,377 and 512,138

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Solution

The third proportional to 233,377 and 512,138 is: 1,123,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,377 : 512,138 = 512,138 : x
  2. Step 2: Convert to fraction form
    233,377/512,138 = 512,138/x
  3. Step 3: Cross multiply
    233,377x = 512,138 × 512,138
  4. Step 4: Simplify right side
    233,377x = 262,285,331,044
  5. Step 5: Solve for x
    x = 262,285,331,044/233,377
  6. Step 6: Final answer
    x = 1,123,869.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.