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Finding the Third Proportional to 572,188.50 and 865,647

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Solution

The third proportional to 572,188.50 and 865,647 is: 1,309,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,188.50 : 865,647 = 865,647 : x
  2. Step 2: Convert to fraction form
    572,188.50/865,647 = 865,647/x
  3. Step 3: Cross multiply
    572,188.50x = 865,647 × 865,647
  4. Step 4: Simplify right side
    572,188.50x = 749,344,728,609
  5. Step 5: Solve for x
    x = 749,344,728,609/572,188.50
  6. Step 6: Final answer
    x = 1,309,611.66

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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.