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Finding the Third Proportional to 564,000 and 851,832

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Solution

The third proportional to 564,000 and 851,832 is: 1,286,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,000 : 851,832 = 851,832 : x
  2. Step 2: Convert to fraction form
    564,000/851,832 = 851,832/x
  3. Step 3: Cross multiply
    564,000x = 851,832 × 851,832
  4. Step 4: Simplify right side
    564,000x = 725,617,756,224
  5. Step 5: Solve for x
    x = 725,617,756,224/564,000
  6. Step 6: Final answer
    x = 1,286,556.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.