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Finding the Third Proportional to 286,546.50 and 615,379.50

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Solution

The third proportional to 286,546.50 and 615,379.50 is: 1,321,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,546.50 : 615,379.50 = 615,379.50 : x
  2. Step 2: Convert to fraction form
    286,546.50/615,379.50 = 615,379.50/x
  3. Step 3: Cross multiply
    286,546.50x = 615,379.50 × 615,379.50
  4. Step 4: Simplify right side
    286,546.50x = 378,691,929,020.25
  5. Step 5: Solve for x
    x = 378,691,929,020.25/286,546.50
  6. Step 6: Final answer
    x = 1,321,572.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.