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Finding the Third Proportional to 241,232 and 515,663

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Solution

The third proportional to 241,232 and 515,663 is: 1,102,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,232 : 515,663 = 515,663 : x
  2. Step 2: Convert to fraction form
    241,232/515,663 = 515,663/x
  3. Step 3: Cross multiply
    241,232x = 515,663 × 515,663
  4. Step 4: Simplify right side
    241,232x = 265,908,329,569
  5. Step 5: Solve for x
    x = 265,908,329,569/241,232
  6. Step 6: Final answer
    x = 1,102,292.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.