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Finding the Third Proportional to 262,691 and 416,029

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Solution

The third proportional to 262,691 and 416,029 is: 658,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,691 : 416,029 = 416,029 : x
  2. Step 2: Convert to fraction form
    262,691/416,029 = 416,029/x
  3. Step 3: Cross multiply
    262,691x = 416,029 × 416,029
  4. Step 4: Simplify right side
    262,691x = 173,080,128,841
  5. Step 5: Solve for x
    x = 173,080,128,841/262,691
  6. Step 6: Final answer
    x = 658,873.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.