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Finding the Third Proportional to 398,784 and 856,032

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Solution

The third proportional to 398,784 and 856,032 is: 1,837,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,784 : 856,032 = 856,032 : x
  2. Step 2: Convert to fraction form
    398,784/856,032 = 856,032/x
  3. Step 3: Cross multiply
    398,784x = 856,032 × 856,032
  4. Step 4: Simplify right side
    398,784x = 732,790,785,024
  5. Step 5: Solve for x
    x = 732,790,785,024/398,784
  6. Step 6: Final answer
    x = 1,837,563.15

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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.