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Finding the Third Proportional to 550,981.50 and 851,406

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Solution

The third proportional to 550,981.50 and 851,406 is: 1,315,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,981.50 : 851,406 = 851,406 : x
  2. Step 2: Convert to fraction form
    550,981.50/851,406 = 851,406/x
  3. Step 3: Cross multiply
    550,981.50x = 851,406 × 851,406
  4. Step 4: Simplify right side
    550,981.50x = 724,892,176,836
  5. Step 5: Solve for x
    x = 724,892,176,836/550,981.50
  6. Step 6: Final answer
    x = 1,315,637.96

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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.