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Finding the Third Proportional to 762,067.50 and 1,704,567

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Solution

The third proportional to 762,067.50 and 1,704,567 is: 3,812,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,067.50 : 1,704,567 = 1,704,567 : x
  2. Step 2: Convert to fraction form
    762,067.50/1,704,567 = 1,704,567/x
  3. Step 3: Cross multiply
    762,067.50x = 1,704,567 × 1,704,567
  4. Step 4: Simplify right side
    762,067.50x = 2,905,548,657,489
  5. Step 5: Solve for x
    x = 2,905,548,657,489/762,067.50
  6. Step 6: Final answer
    x = 3,812,718.24

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.