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Finding the Third Proportional to 234,010 and 505,378

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Solution

The third proportional to 234,010 and 505,378 is: 1,091,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,010 : 505,378 = 505,378 : x
  2. Step 2: Convert to fraction form
    234,010/505,378 = 505,378/x
  3. Step 3: Cross multiply
    234,010x = 505,378 × 505,378
  4. Step 4: Simplify right side
    234,010x = 255,406,922,884
  5. Step 5: Solve for x
    x = 255,406,922,884/234,010
  6. Step 6: Final answer
    x = 1,091,435.93

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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.