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Finding the Third Proportional to 471,930 and 707,944.50

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Solution

The third proportional to 471,930 and 707,944.50 is: 1,061,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,930 : 707,944.50 = 707,944.50 : x
  2. Step 2: Convert to fraction form
    471,930/707,944.50 = 707,944.50/x
  3. Step 3: Cross multiply
    471,930x = 707,944.50 × 707,944.50
  4. Step 4: Simplify right side
    471,930x = 501,185,415,080.25
  5. Step 5: Solve for x
    x = 501,185,415,080.25/471,930
  6. Step 6: Final answer
    x = 1,061,991.01

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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.