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Finding the Third Proportional to 570,728 and 854,310

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Solution

The third proportional to 570,728 and 854,310 is: 1,278,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,728 : 854,310 = 854,310 : x
  2. Step 2: Convert to fraction form
    570,728/854,310 = 854,310/x
  3. Step 3: Cross multiply
    570,728x = 854,310 × 854,310
  4. Step 4: Simplify right side
    570,728x = 729,845,576,100
  5. Step 5: Solve for x
    x = 729,845,576,100/570,728
  6. Step 6: Final answer
    x = 1,278,797.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.