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Finding the Third Proportional to 471,784.50 and 709,863.75

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Solution

The third proportional to 471,784.50 and 709,863.75 is: 1,068,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,784.50 : 709,863.75 = 709,863.75 : x
  2. Step 2: Convert to fraction form
    471,784.50/709,863.75 = 709,863.75/x
  3. Step 3: Cross multiply
    471,784.50x = 709,863.75 × 709,863.75
  4. Step 4: Simplify right side
    471,784.50x = 503,906,543,564.06
  5. Step 5: Solve for x
    x = 503,906,543,564.06/471,784.50
  6. Step 6: Final answer
    x = 1,068,086.26

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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.