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Finding the Third Proportional to 305,856 and 633,216

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Solution

The third proportional to 305,856 and 633,216 is: 1,310,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,856 : 633,216 = 633,216 : x
  2. Step 2: Convert to fraction form
    305,856/633,216 = 633,216/x
  3. Step 3: Cross multiply
    305,856x = 633,216 × 633,216
  4. Step 4: Simplify right side
    305,856x = 400,962,502,656
  5. Step 5: Solve for x
    x = 400,962,502,656/305,856
  6. Step 6: Final answer
    x = 1,310,951.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.