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Finding the Third Proportional to 701,907 and 775,717.50

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Solution

The third proportional to 701,907 and 775,717.50 is: 857,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,907 : 775,717.50 = 775,717.50 : x
  2. Step 2: Convert to fraction form
    701,907/775,717.50 = 775,717.50/x
  3. Step 3: Cross multiply
    701,907x = 775,717.50 × 775,717.50
  4. Step 4: Simplify right side
    701,907x = 601,737,639,806.25
  5. Step 5: Solve for x
    x = 601,737,639,806.25/701,907
  6. Step 6: Final answer
    x = 857,289.70

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.