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Finding the Third Proportional to 301,947.75 and 415,296

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Solution

The third proportional to 301,947.75 and 415,296 is: 571,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,947.75 : 415,296 = 415,296 : x
  2. Step 2: Convert to fraction form
    301,947.75/415,296 = 415,296/x
  3. Step 3: Cross multiply
    301,947.75x = 415,296 × 415,296
  4. Step 4: Simplify right side
    301,947.75x = 172,470,767,616
  5. Step 5: Solve for x
    x = 172,470,767,616/301,947.75
  6. Step 6: Final answer
    x = 571,194.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.