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Finding the Third Proportional to 356,471 and 792,636

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Solution

The third proportional to 356,471 and 792,636 is: 1,762,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,471 : 792,636 = 792,636 : x
  2. Step 2: Convert to fraction form
    356,471/792,636 = 792,636/x
  3. Step 3: Cross multiply
    356,471x = 792,636 × 792,636
  4. Step 4: Simplify right side
    356,471x = 628,271,828,496
  5. Step 5: Solve for x
    x = 628,271,828,496/356,471
  6. Step 6: Final answer
    x = 1,762,476.69

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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.