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Finding the Third Proportional to 315,454.50 and 684,149.63

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Solution

The third proportional to 315,454.50 and 684,149.63 is: 1,483,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,454.50 : 684,149.63 = 684,149.63 : x
  2. Step 2: Convert to fraction form
    315,454.50/684,149.63 = 684,149.63/x
  3. Step 3: Cross multiply
    315,454.50x = 684,149.63 × 684,149.63
  4. Step 4: Simplify right side
    315,454.50x = 468,060,709,387.64
  5. Step 5: Solve for x
    x = 468,060,709,387.64/315,454.50
  6. Step 6: Final answer
    x = 1,483,766.15

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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.