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Finding the Third Proportional to 314,168.25 and 678,146.63

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Solution

The third proportional to 314,168.25 and 678,146.63 is: 1,463,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,168.25 : 678,146.63 = 678,146.63 : x
  2. Step 2: Convert to fraction form
    314,168.25/678,146.63 = 678,146.63/x
  3. Step 3: Cross multiply
    314,168.25x = 678,146.63 × 678,146.63
  4. Step 4: Simplify right side
    314,168.25x = 459,882,844,998.89
  5. Step 5: Solve for x
    x = 459,882,844,998.89/314,168.25
  6. Step 6: Final answer
    x = 1,463,810.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.