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Finding the Third Proportional to 666,328 and 949,652

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Solution

The third proportional to 666,328 and 949,652 is: 1,353,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,328 : 949,652 = 949,652 : x
  2. Step 2: Convert to fraction form
    666,328/949,652 = 949,652/x
  3. Step 3: Cross multiply
    666,328x = 949,652 × 949,652
  4. Step 4: Simplify right side
    666,328x = 901,838,921,104
  5. Step 5: Solve for x
    x = 901,838,921,104/666,328
  6. Step 6: Final answer
    x = 1,353,445.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.