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Finding the Third Proportional to 241,533 and 354,911.63

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Solution

The third proportional to 241,533 and 354,911.63 is: 521,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,533 : 354,911.63 = 354,911.63 : x
  2. Step 2: Convert to fraction form
    241,533/354,911.63 = 354,911.63/x
  3. Step 3: Cross multiply
    241,533x = 354,911.63 × 354,911.63
  4. Step 4: Simplify right side
    241,533x = 125,962,261,560.14
  5. Step 5: Solve for x
    x = 125,962,261,560.14/241,533
  6. Step 6: Final answer
    x = 521,511.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.