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Finding the Third Proportional to 376,104 and 783,312

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Solution

The third proportional to 376,104 and 783,312 is: 1,631,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,104 : 783,312 = 783,312 : x
  2. Step 2: Convert to fraction form
    376,104/783,312 = 783,312/x
  3. Step 3: Cross multiply
    376,104x = 783,312 × 783,312
  4. Step 4: Simplify right side
    376,104x = 613,577,689,344
  5. Step 5: Solve for x
    x = 613,577,689,344/376,104
  6. Step 6: Final answer
    x = 1,631,404.32

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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.