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Finding the Third Proportional to 376,272 and 783,216

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Solution

The third proportional to 376,272 and 783,216 is: 1,630,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,272 : 783,216 = 783,216 : x
  2. Step 2: Convert to fraction form
    376,272/783,216 = 783,216/x
  3. Step 3: Cross multiply
    376,272x = 783,216 × 783,216
  4. Step 4: Simplify right side
    376,272x = 613,427,302,656
  5. Step 5: Solve for x
    x = 613,427,302,656/376,272
  6. Step 6: Final answer
    x = 1,630,276.24

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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.