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Finding the Third Proportional to 286,481.50 and 607,114

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Solution

The third proportional to 286,481.50 and 607,114 is: 1,286,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,481.50 : 607,114 = 607,114 : x
  2. Step 2: Convert to fraction form
    286,481.50/607,114 = 607,114/x
  3. Step 3: Cross multiply
    286,481.50x = 607,114 × 607,114
  4. Step 4: Simplify right side
    286,481.50x = 368,587,408,996
  5. Step 5: Solve for x
    x = 368,587,408,996/286,481.50
  6. Step 6: Final answer
    x = 1,286,601.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.