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Finding the Third Proportional to 473,398 and 665,864

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Solution

The third proportional to 473,398 and 665,864 is: 936,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,398 : 665,864 = 665,864 : x
  2. Step 2: Convert to fraction form
    473,398/665,864 = 665,864/x
  3. Step 3: Cross multiply
    473,398x = 665,864 × 665,864
  4. Step 4: Simplify right side
    473,398x = 443,374,866,496
  5. Step 5: Solve for x
    x = 443,374,866,496/473,398
  6. Step 6: Final answer
    x = 936,579.51

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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.