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Finding the Third Proportional to 387,856 and 600,216

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Solution

The third proportional to 387,856 and 600,216 is: 928,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,856 : 600,216 = 600,216 : x
  2. Step 2: Convert to fraction form
    387,856/600,216 = 600,216/x
  3. Step 3: Cross multiply
    387,856x = 600,216 × 600,216
  4. Step 4: Simplify right side
    387,856x = 360,259,246,656
  5. Step 5: Solve for x
    x = 360,259,246,656/387,856
  6. Step 6: Final answer
    x = 928,847.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.