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Finding the Third Proportional to 263,949 and 358,608

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Solution

The third proportional to 263,949 and 358,608 is: 487,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,949 : 358,608 = 358,608 : x
  2. Step 2: Convert to fraction form
    263,949/358,608 = 358,608/x
  3. Step 3: Cross multiply
    263,949x = 358,608 × 358,608
  4. Step 4: Simplify right side
    263,949x = 128,599,697,664
  5. Step 5: Solve for x
    x = 128,599,697,664/263,949
  6. Step 6: Final answer
    x = 487,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.