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Finding the Third Proportional to 297,977.25 and 643,695.75

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Solution

The third proportional to 297,977.25 and 643,695.75 is: 1,390,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,977.25 : 643,695.75 = 643,695.75 : x
  2. Step 2: Convert to fraction form
    297,977.25/643,695.75 = 643,695.75/x
  3. Step 3: Cross multiply
    297,977.25x = 643,695.75 × 643,695.75
  4. Step 4: Simplify right side
    297,977.25x = 414,344,218,568.06
  5. Step 5: Solve for x
    x = 414,344,218,568.06/297,977.25
  6. Step 6: Final answer
    x = 1,390,523.00

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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.