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Finding the Third Proportional to 241,587 and 515,165.63

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Solution

The third proportional to 241,587 and 515,165.63 is: 1,098,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,587 : 515,165.63 = 515,165.63 : x
  2. Step 2: Convert to fraction form
    241,587/515,165.63 = 515,165.63/x
  3. Step 3: Cross multiply
    241,587x = 515,165.63 × 515,165.63
  4. Step 4: Simplify right side
    241,587x = 265,395,621,181.64
  5. Step 5: Solve for x
    x = 265,395,621,181.64/241,587
  6. Step 6: Final answer
    x = 1,098,550.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.