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Finding the Third Proportional to 241,356 and 529,368

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Solution

The third proportional to 241,356 and 529,368 is: 1,161,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,356 : 529,368 = 529,368 : x
  2. Step 2: Convert to fraction form
    241,356/529,368 = 529,368/x
  3. Step 3: Cross multiply
    241,356x = 529,368 × 529,368
  4. Step 4: Simplify right side
    241,356x = 280,230,479,424
  5. Step 5: Solve for x
    x = 280,230,479,424/241,356
  6. Step 6: Final answer
    x = 1,161,066.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.