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Finding the Third Proportional to 515,999 and 758,831

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Solution

The third proportional to 515,999 and 758,831 is: 1,115,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,999 : 758,831 = 758,831 : x
  2. Step 2: Convert to fraction form
    515,999/758,831 = 758,831/x
  3. Step 3: Cross multiply
    515,999x = 758,831 × 758,831
  4. Step 4: Simplify right side
    515,999x = 575,824,486,561
  5. Step 5: Solve for x
    x = 575,824,486,561/515,999
  6. Step 6: Final answer
    x = 1,115,941.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.