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Finding the Third Proportional to 473,410 and 665,883

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Solution

The third proportional to 473,410 and 665,883 is: 936,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,410 : 665,883 = 665,883 : x
  2. Step 2: Convert to fraction form
    473,410/665,883 = 665,883/x
  3. Step 3: Cross multiply
    473,410x = 665,883 × 665,883
  4. Step 4: Simplify right side
    473,410x = 443,400,169,689
  5. Step 5: Solve for x
    x = 443,400,169,689/473,410
  6. Step 6: Final answer
    x = 936,609.22

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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.