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Finding the Third Proportional to 572,173.88 and 865,626.75

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Solution

The third proportional to 572,173.88 and 865,626.75 is: 1,309,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,173.88 : 865,626.75 = 865,626.75 : x
  2. Step 2: Convert to fraction form
    572,173.88/865,626.75 = 865,626.75/x
  3. Step 3: Cross multiply
    572,173.88x = 865,626.75 × 865,626.75
  4. Step 4: Simplify right side
    572,173.88x = 749,309,670,315.56
  5. Step 5: Solve for x
    x = 749,309,670,315.56/572,173.88
  6. Step 6: Final answer
    x = 1,309,583.86

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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.