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Finding the Third Proportional to 473,406 and 665,877

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Solution

The third proportional to 473,406 and 665,877 is: 936,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,406 : 665,877 = 665,877 : x
  2. Step 2: Convert to fraction form
    473,406/665,877 = 665,877/x
  3. Step 3: Cross multiply
    473,406x = 665,877 × 665,877
  4. Step 4: Simplify right side
    473,406x = 443,392,179,129
  5. Step 5: Solve for x
    x = 443,392,179,129/473,406
  6. Step 6: Final answer
    x = 936,600.25

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