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Finding the Third Proportional to 687,811.50 and 917,325

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Solution

The third proportional to 687,811.50 and 917,325 is: 1,223,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,811.50 : 917,325 = 917,325 : x
  2. Step 2: Convert to fraction form
    687,811.50/917,325 = 917,325/x
  3. Step 3: Cross multiply
    687,811.50x = 917,325 × 917,325
  4. Step 4: Simplify right side
    687,811.50x = 841,485,155,625
  5. Step 5: Solve for x
    x = 841,485,155,625/687,811.50
  6. Step 6: Final answer
    x = 1,223,424.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.