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Finding the Third Proportional to 295,910 and 639,112.50

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Solution

The third proportional to 295,910 and 639,112.50 is: 1,380,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,910 : 639,112.50 = 639,112.50 : x
  2. Step 2: Convert to fraction form
    295,910/639,112.50 = 639,112.50/x
  3. Step 3: Cross multiply
    295,910x = 639,112.50 × 639,112.50
  4. Step 4: Simplify right side
    295,910x = 408,464,787,656.25
  5. Step 5: Solve for x
    x = 408,464,787,656.25/295,910
  6. Step 6: Final answer
    x = 1,380,368.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.