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Finding the Third Proportional to 376,280 and 783,232

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Solution

The third proportional to 376,280 and 783,232 is: 1,630,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,280 : 783,232 = 783,232 : x
  2. Step 2: Convert to fraction form
    376,280/783,232 = 783,232/x
  3. Step 3: Cross multiply
    376,280x = 783,232 × 783,232
  4. Step 4: Simplify right side
    376,280x = 613,452,365,824
  5. Step 5: Solve for x
    x = 613,452,365,824/376,280
  6. Step 6: Final answer
    x = 1,630,308.19

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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.