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Finding the Third Proportional to 241,710.75 and 521,856

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Solution

The third proportional to 241,710.75 and 521,856 is: 1,126,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,710.75 : 521,856 = 521,856 : x
  2. Step 2: Convert to fraction form
    241,710.75/521,856 = 521,856/x
  3. Step 3: Cross multiply
    241,710.75x = 521,856 × 521,856
  4. Step 4: Simplify right side
    241,710.75x = 272,333,684,736
  5. Step 5: Solve for x
    x = 272,333,684,736/241,710.75
  6. Step 6: Final answer
    x = 1,126,692.48

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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.