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Finding the Third Proportional to 314,381.25 and 678,790.13

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Solution

The third proportional to 314,381.25 and 678,790.13 is: 1,465,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,381.25 : 678,790.13 = 678,790.13 : x
  2. Step 2: Convert to fraction form
    314,381.25/678,790.13 = 678,790.13/x
  3. Step 3: Cross multiply
    314,381.25x = 678,790.13 × 678,790.13
  4. Step 4: Simplify right side
    314,381.25x = 460,756,033,797.52
  5. Step 5: Solve for x
    x = 460,756,033,797.52/314,381.25
  6. Step 6: Final answer
    x = 1,465,596.42

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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.