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Finding the Third Proportional to 182,784 and 423,552

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Solution

The third proportional to 182,784 and 423,552 is: 981,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,784 : 423,552 = 423,552 : x
  2. Step 2: Convert to fraction form
    182,784/423,552 = 423,552/x
  3. Step 3: Cross multiply
    182,784x = 423,552 × 423,552
  4. Step 4: Simplify right side
    182,784x = 179,396,296,704
  5. Step 5: Solve for x
    x = 179,396,296,704/182,784
  6. Step 6: Final answer
    x = 981,466.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.