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Finding the Third Proportional to 469,399.50 and 706,286.25

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Solution

The third proportional to 469,399.50 and 706,286.25 is: 1,062,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,399.50 : 706,286.25 = 706,286.25 : x
  2. Step 2: Convert to fraction form
    469,399.50/706,286.25 = 706,286.25/x
  3. Step 3: Cross multiply
    469,399.50x = 706,286.25 × 706,286.25
  4. Step 4: Simplify right side
    469,399.50x = 498,840,266,939.06
  5. Step 5: Solve for x
    x = 498,840,266,939.06/469,399.50
  6. Step 6: Final answer
    x = 1,062,720.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.