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Finding the Third Proportional to 666,363.50 and 949,701.75

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Solution

The third proportional to 666,363.50 and 949,701.75 is: 1,353,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,363.50 : 949,701.75 = 949,701.75 : x
  2. Step 2: Convert to fraction form
    666,363.50/949,701.75 = 949,701.75/x
  3. Step 3: Cross multiply
    666,363.50x = 949,701.75 × 949,701.75
  4. Step 4: Simplify right side
    666,363.50x = 901,933,413,953.06
  5. Step 5: Solve for x
    x = 901,933,413,953.06/666,363.50
  6. Step 6: Final answer
    x = 1,353,515.63

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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.