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Finding the Third Proportional to 315,494.25 and 684,220.50

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Solution

The third proportional to 315,494.25 and 684,220.50 is: 1,483,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,494.25 : 684,220.50 = 684,220.50 : x
  2. Step 2: Convert to fraction form
    315,494.25/684,220.50 = 684,220.50/x
  3. Step 3: Cross multiply
    315,494.25x = 684,220.50 × 684,220.50
  4. Step 4: Simplify right side
    315,494.25x = 468,157,692,620.25
  5. Step 5: Solve for x
    x = 468,157,692,620.25/315,494.25
  6. Step 6: Final answer
    x = 1,483,886.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.