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Finding the Third Proportional to 382,548 and 823,632

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Solution

The third proportional to 382,548 and 823,632 is: 1,773,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,548 : 823,632 = 823,632 : x
  2. Step 2: Convert to fraction form
    382,548/823,632 = 823,632/x
  3. Step 3: Cross multiply
    382,548x = 823,632 × 823,632
  4. Step 4: Simplify right side
    382,548x = 678,369,671,424
  5. Step 5: Solve for x
    x = 678,369,671,424/382,548
  6. Step 6: Final answer
    x = 1,773,292.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.