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Finding the Third Proportional to 241,724 and 512,262

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Solution

The third proportional to 241,724 and 512,262 is: 1,085,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,724 : 512,262 = 512,262 : x
  2. Step 2: Convert to fraction form
    241,724/512,262 = 512,262/x
  3. Step 3: Cross multiply
    241,724x = 512,262 × 512,262
  4. Step 4: Simplify right side
    241,724x = 262,412,356,644
  5. Step 5: Solve for x
    x = 262,412,356,644/241,724
  6. Step 6: Final answer
    x = 1,085,586.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.