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Finding the Third Proportional to 572,170.50 and 865,627.50

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Solution

The third proportional to 572,170.50 and 865,627.50 is: 1,309,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,170.50 : 865,627.50 = 865,627.50 : x
  2. Step 2: Convert to fraction form
    572,170.50/865,627.50 = 865,627.50/x
  3. Step 3: Cross multiply
    572,170.50x = 865,627.50 × 865,627.50
  4. Step 4: Simplify right side
    572,170.50x = 749,310,968,756.25
  5. Step 5: Solve for x
    x = 749,310,968,756.25/572,170.50
  6. Step 6: Final answer
    x = 1,309,593.85

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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.