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Finding the Third Proportional to 291,951 and 627,550.50

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Solution

The third proportional to 291,951 and 627,550.50 is: 1,348,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951 : 627,550.50 = 627,550.50 : x
  2. Step 2: Convert to fraction form
    291,951/627,550.50 = 627,550.50/x
  3. Step 3: Cross multiply
    291,951x = 627,550.50 × 627,550.50
  4. Step 4: Simplify right side
    291,951x = 393,819,630,050.25
  5. Step 5: Solve for x
    x = 393,819,630,050.25/291,951
  6. Step 6: Final answer
    x = 1,348,923.72

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