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Finding the Third Proportional to 543,898 and 783,375

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Solution

The third proportional to 543,898 and 783,375 is: 1,128,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,898 : 783,375 = 783,375 : x
  2. Step 2: Convert to fraction form
    543,898/783,375 = 783,375/x
  3. Step 3: Cross multiply
    543,898x = 783,375 × 783,375
  4. Step 4: Simplify right side
    543,898x = 613,676,390,625
  5. Step 5: Solve for x
    x = 613,676,390,625/543,898
  6. Step 6: Final answer
    x = 1,128,293.16

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.