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Finding the Third Proportional to 471,703.50 and 705,919.50

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Solution

The third proportional to 471,703.50 and 705,919.50 is: 1,056,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,703.50 : 705,919.50 = 705,919.50 : x
  2. Step 2: Convert to fraction form
    471,703.50/705,919.50 = 705,919.50/x
  3. Step 3: Cross multiply
    471,703.50x = 705,919.50 × 705,919.50
  4. Step 4: Simplify right side
    471,703.50x = 498,322,340,480.25
  5. Step 5: Solve for x
    x = 498,322,340,480.25/471,703.50
  6. Step 6: Final answer
    x = 1,056,431.30

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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.