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Finding the Third Proportional to 530,726 and 794,144

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Solution

The third proportional to 530,726 and 794,144 is: 1,188,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,726 : 794,144 = 794,144 : x
  2. Step 2: Convert to fraction form
    530,726/794,144 = 794,144/x
  3. Step 3: Cross multiply
    530,726x = 794,144 × 794,144
  4. Step 4: Simplify right side
    530,726x = 630,664,692,736
  5. Step 5: Solve for x
    x = 630,664,692,736/530,726
  6. Step 6: Final answer
    x = 1,188,305.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.