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Finding the Third Proportional to 387,374.50 and 836,993

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Solution

The third proportional to 387,374.50 and 836,993 is: 1,808,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,374.50 : 836,993 = 836,993 : x
  2. Step 2: Convert to fraction form
    387,374.50/836,993 = 836,993/x
  3. Step 3: Cross multiply
    387,374.50x = 836,993 × 836,993
  4. Step 4: Simplify right side
    387,374.50x = 700,557,282,049
  5. Step 5: Solve for x
    x = 700,557,282,049/387,374.50
  6. Step 6: Final answer
    x = 1,808,475.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.