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Finding the Third Proportional to 566,534 and 854,185

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Solution

The third proportional to 566,534 and 854,185 is: 1,287,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,534 : 854,185 = 854,185 : x
  2. Step 2: Convert to fraction form
    566,534/854,185 = 854,185/x
  3. Step 3: Cross multiply
    566,534x = 854,185 × 854,185
  4. Step 4: Simplify right side
    566,534x = 729,632,014,225
  5. Step 5: Solve for x
    x = 729,632,014,225/566,534
  6. Step 6: Final answer
    x = 1,287,887.42

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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.