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Finding the Third Proportional to 550,992 and 851,422.50

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Solution

The third proportional to 550,992 and 851,422.50 is: 1,315,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,992 : 851,422.50 = 851,422.50 : x
  2. Step 2: Convert to fraction form
    550,992/851,422.50 = 851,422.50/x
  3. Step 3: Cross multiply
    550,992x = 851,422.50 × 851,422.50
  4. Step 4: Simplify right side
    550,992x = 724,920,273,506.25
  5. Step 5: Solve for x
    x = 724,920,273,506.25/550,992
  6. Step 6: Final answer
    x = 1,315,663.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.