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Finding the Third Proportional to 234,008 and 505,374

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Solution

The third proportional to 234,008 and 505,374 is: 1,091,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,008 : 505,374 = 505,374 : x
  2. Step 2: Convert to fraction form
    234,008/505,374 = 505,374/x
  3. Step 3: Cross multiply
    234,008x = 505,374 × 505,374
  4. Step 4: Simplify right side
    234,008x = 255,402,879,876
  5. Step 5: Solve for x
    x = 255,402,879,876/234,008
  6. Step 6: Final answer
    x = 1,091,427.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.