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Finding the Third Proportional to 666,232 and 949,524

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Solution

The third proportional to 666,232 and 949,524 is: 1,353,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,232 : 949,524 = 949,524 : x
  2. Step 2: Convert to fraction form
    666,232/949,524 = 949,524/x
  3. Step 3: Cross multiply
    666,232x = 949,524 × 949,524
  4. Step 4: Simplify right side
    666,232x = 901,595,826,576
  5. Step 5: Solve for x
    x = 901,595,826,576/666,232
  6. Step 6: Final answer
    x = 1,353,276.08

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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.