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Finding the Third Proportional to 473,584 and 666,192

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Solution

The third proportional to 473,584 and 666,192 is: 937,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,584 : 666,192 = 666,192 : x
  2. Step 2: Convert to fraction form
    473,584/666,192 = 666,192/x
  3. Step 3: Cross multiply
    473,584x = 666,192 × 666,192
  4. Step 4: Simplify right side
    473,584x = 443,811,780,864
  5. Step 5: Solve for x
    x = 443,811,780,864/473,584
  6. Step 6: Final answer
    x = 937,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.