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Finding the Third Proportional to 315,216.56 and 684,014.63

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Solution

The third proportional to 315,216.56 and 684,014.63 is: 1,484,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,216.56 : 684,014.63 = 684,014.63 : x
  2. Step 2: Convert to fraction form
    315,216.56/684,014.63 = 684,014.63/x
  3. Step 3: Cross multiply
    315,216.56x = 684,014.63 × 684,014.63
  4. Step 4: Simplify right side
    315,216.56x = 467,876,007,213.89
  5. Step 5: Solve for x
    x = 467,876,007,213.89/315,216.56
  6. Step 6: Final answer
    x = 1,484,300.20

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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.