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Finding the Third Proportional to 677,989 and 919,753.50

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Solution

The third proportional to 677,989 and 919,753.50 is: 1,247,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,989 : 919,753.50 = 919,753.50 : x
  2. Step 2: Convert to fraction form
    677,989/919,753.50 = 919,753.50/x
  3. Step 3: Cross multiply
    677,989x = 919,753.50 × 919,753.50
  4. Step 4: Simplify right side
    677,989x = 845,946,500,762.25
  5. Step 5: Solve for x
    x = 845,946,500,762.25/677,989
  6. Step 6: Final answer
    x = 1,247,728.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.