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Finding the Third Proportional to 262,980 and 372,114

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Solution

The third proportional to 262,980 and 372,114 is: 526,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,980 : 372,114 = 372,114 : x
  2. Step 2: Convert to fraction form
    262,980/372,114 = 372,114/x
  3. Step 3: Cross multiply
    262,980x = 372,114 × 372,114
  4. Step 4: Simplify right side
    262,980x = 138,468,828,996
  5. Step 5: Solve for x
    x = 138,468,828,996/262,980
  6. Step 6: Final answer
    x = 526,537.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.