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Finding the Third Proportional to 566,532 and 854,182

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Solution

The third proportional to 566,532 and 854,182 is: 1,287,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,532 : 854,182 = 854,182 : x
  2. Step 2: Convert to fraction form
    566,532/854,182 = 854,182/x
  3. Step 3: Cross multiply
    566,532x = 854,182 × 854,182
  4. Step 4: Simplify right side
    566,532x = 729,626,889,124
  5. Step 5: Solve for x
    x = 729,626,889,124/566,532
  6. Step 6: Final answer
    x = 1,287,882.92

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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.