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Finding the Third Proportional to 561,231 and 855,858

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Solution

The third proportional to 561,231 and 855,858 is: 1,305,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,231 : 855,858 = 855,858 : x
  2. Step 2: Convert to fraction form
    561,231/855,858 = 855,858/x
  3. Step 3: Cross multiply
    561,231x = 855,858 × 855,858
  4. Step 4: Simplify right side
    561,231x = 732,492,916,164
  5. Step 5: Solve for x
    x = 732,492,916,164/561,231
  6. Step 6: Final answer
    x = 1,305,154.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.