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Finding the Third Proportional to 377,363 and 512,763

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Solution

The third proportional to 377,363 and 512,763 is: 696,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,363 : 512,763 = 512,763 : x
  2. Step 2: Convert to fraction form
    377,363/512,763 = 512,763/x
  3. Step 3: Cross multiply
    377,363x = 512,763 × 512,763
  4. Step 4: Simplify right side
    377,363x = 262,925,894,169
  5. Step 5: Solve for x
    x = 262,925,894,169/377,363
  6. Step 6: Final answer
    x = 696,745.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.