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Finding the Third Proportional to 651,769.50 and 954,324

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Solution

The third proportional to 651,769.50 and 954,324 is: 1,397,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,769.50 : 954,324 = 954,324 : x
  2. Step 2: Convert to fraction form
    651,769.50/954,324 = 954,324/x
  3. Step 3: Cross multiply
    651,769.50x = 954,324 × 954,324
  4. Step 4: Simplify right side
    651,769.50x = 910,734,296,976
  5. Step 5: Solve for x
    x = 910,734,296,976/651,769.50
  6. Step 6: Final answer
    x = 1,397,325.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.