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Finding the Third Proportional to 559,067 and 744,856.50

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Solution

The third proportional to 559,067 and 744,856.50 is: 992,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,067 : 744,856.50 = 744,856.50 : x
  2. Step 2: Convert to fraction form
    559,067/744,856.50 = 744,856.50/x
  3. Step 3: Cross multiply
    559,067x = 744,856.50 × 744,856.50
  4. Step 4: Simplify right side
    559,067x = 554,811,205,592.25
  5. Step 5: Solve for x
    x = 554,811,205,592.25/559,067
  6. Step 6: Final answer
    x = 992,387.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.