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Finding the Third Proportional to 682,592 and 918,904.50

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Solution

The third proportional to 682,592 and 918,904.50 is: 1,237,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,592 : 918,904.50 = 918,904.50 : x
  2. Step 2: Convert to fraction form
    682,592/918,904.50 = 918,904.50/x
  3. Step 3: Cross multiply
    682,592x = 918,904.50 × 918,904.50
  4. Step 4: Simplify right side
    682,592x = 844,385,480,120.25
  5. Step 5: Solve for x
    x = 844,385,480,120.25/682,592
  6. Step 6: Final answer
    x = 1,237,028.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.