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Finding the Third Proportional to 265,835.83 and 408,608.06

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Solution

The third proportional to 265,835.83 and 408,608.06 is: 628,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,835.83 : 408,608.06 = 408,608.06 : x
  2. Step 2: Convert to fraction form
    265,835.83/408,608.06 = 408,608.06/x
  3. Step 3: Cross multiply
    265,835.83x = 408,608.06 × 408,608.06
  4. Step 4: Simplify right side
    265,835.83x = 166,960,546,345.82
  5. Step 5: Solve for x
    x = 166,960,546,345.82/265,835.83
  6. Step 6: Final answer
    x = 628,058.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.