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Finding the Third Proportional to 356,476 and 792,648

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Solution

The third proportional to 356,476 and 792,648 is: 1,762,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,476 : 792,648 = 792,648 : x
  2. Step 2: Convert to fraction form
    356,476/792,648 = 792,648/x
  3. Step 3: Cross multiply
    356,476x = 792,648 × 792,648
  4. Step 4: Simplify right side
    356,476x = 628,290,851,904
  5. Step 5: Solve for x
    x = 628,290,851,904/356,476
  6. Step 6: Final answer
    x = 1,762,505.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.