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Finding the Third Proportional to 286,965 and 625,600.50

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Solution

The third proportional to 286,965 and 625,600.50 is: 1,363,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,965 : 625,600.50 = 625,600.50 : x
  2. Step 2: Convert to fraction form
    286,965/625,600.50 = 625,600.50/x
  3. Step 3: Cross multiply
    286,965x = 625,600.50 × 625,600.50
  4. Step 4: Simplify right side
    286,965x = 391,375,985,600.25
  5. Step 5: Solve for x
    x = 391,375,985,600.25/286,965
  6. Step 6: Final answer
    x = 1,363,845.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.