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Finding the Third Proportional to 314,084.25 and 654,716.25

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Solution

The third proportional to 314,084.25 and 654,716.25 is: 1,364,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,084.25 : 654,716.25 = 654,716.25 : x
  2. Step 2: Convert to fraction form
    314,084.25/654,716.25 = 654,716.25/x
  3. Step 3: Cross multiply
    314,084.25x = 654,716.25 × 654,716.25
  4. Step 4: Simplify right side
    314,084.25x = 428,653,368,014.06
  5. Step 5: Solve for x
    x = 428,653,368,014.06/314,084.25
  6. Step 6: Final answer
    x = 1,364,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.