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Finding the Third Proportional to 315,171 and 728,878.50

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Solution

The third proportional to 315,171 and 728,878.50 is: 1,685,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171 : 728,878.50 = 728,878.50 : x
  2. Step 2: Convert to fraction form
    315,171/728,878.50 = 728,878.50/x
  3. Step 3: Cross multiply
    315,171x = 728,878.50 × 728,878.50
  4. Step 4: Simplify right side
    315,171x = 531,263,867,762.25
  5. Step 5: Solve for x
    x = 531,263,867,762.25/315,171
  6. Step 6: Final answer
    x = 1,685,636.90

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.