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Finding the Third Proportional to 242,455.78 and 526,879.69

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Solution

The third proportional to 242,455.78 and 526,879.69 is: 1,144,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,455.78 : 526,879.69 = 526,879.69 : x
  2. Step 2: Convert to fraction form
    242,455.78/526,879.69 = 526,879.69/x
  3. Step 3: Cross multiply
    242,455.78x = 526,879.69 × 526,879.69
  4. Step 4: Simplify right side
    242,455.78x = 277,602,205,100.10
  5. Step 5: Solve for x
    x = 277,602,205,100.10/242,455.78
  6. Step 6: Final answer
    x = 1,144,960.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.