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Finding the Third Proportional to 314,154 and 678,131.25

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Solution

The third proportional to 314,154 and 678,131.25 is: 1,463,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,154 : 678,131.25 = 678,131.25 : x
  2. Step 2: Convert to fraction form
    314,154/678,131.25 = 678,131.25/x
  3. Step 3: Cross multiply
    314,154x = 678,131.25 × 678,131.25
  4. Step 4: Simplify right side
    314,154x = 459,861,992,226.56
  5. Step 5: Solve for x
    x = 459,861,992,226.56/314,154
  6. Step 6: Final answer
    x = 1,463,810.72

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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.