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Finding the Third Proportional to 376,410 and 783,796

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Solution

The third proportional to 376,410 and 783,796 is: 1,632,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,410 : 783,796 = 783,796 : x
  2. Step 2: Convert to fraction form
    376,410/783,796 = 783,796/x
  3. Step 3: Cross multiply
    376,410x = 783,796 × 783,796
  4. Step 4: Simplify right side
    376,410x = 614,336,169,616
  5. Step 5: Solve for x
    x = 614,336,169,616/376,410
  6. Step 6: Final answer
    x = 1,632,093.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.