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Finding the Third Proportional to 382,523 and 792,685

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Solution

The third proportional to 382,523 and 792,685 is: 1,642,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,523 : 792,685 = 792,685 : x
  2. Step 2: Convert to fraction form
    382,523/792,685 = 792,685/x
  3. Step 3: Cross multiply
    382,523x = 792,685 × 792,685
  4. Step 4: Simplify right side
    382,523x = 628,349,509,225
  5. Step 5: Solve for x
    x = 628,349,509,225/382,523
  6. Step 6: Final answer
    x = 1,642,645.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.