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Finding the Third Proportional to 570,688.50 and 854,250

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Solution

The third proportional to 570,688.50 and 854,250 is: 1,278,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,688.50 : 854,250 = 854,250 : x
  2. Step 2: Convert to fraction form
    570,688.50/854,250 = 854,250/x
  3. Step 3: Cross multiply
    570,688.50x = 854,250 × 854,250
  4. Step 4: Simplify right side
    570,688.50x = 729,743,062,500
  5. Step 5: Solve for x
    x = 729,743,062,500/570,688.50
  6. Step 6: Final answer
    x = 1,278,706.44

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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.