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Finding the Third Proportional to 180,822 and 393,789

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Solution

The third proportional to 180,822 and 393,789 is: 857,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,822 : 393,789 = 393,789 : x
  2. Step 2: Convert to fraction form
    180,822/393,789 = 393,789/x
  3. Step 3: Cross multiply
    180,822x = 393,789 × 393,789
  4. Step 4: Simplify right side
    180,822x = 155,069,776,521
  5. Step 5: Solve for x
    x = 155,069,776,521/180,822
  6. Step 6: Final answer
    x = 857,582.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.