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Finding the Third Proportional to 409,194 and 550,435.50

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Solution

The third proportional to 409,194 and 550,435.50 is: 740,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,194 : 550,435.50 = 550,435.50 : x
  2. Step 2: Convert to fraction form
    409,194/550,435.50 = 550,435.50/x
  3. Step 3: Cross multiply
    409,194x = 550,435.50 × 550,435.50
  4. Step 4: Simplify right side
    409,194x = 302,979,239,660.25
  5. Step 5: Solve for x
    x = 302,979,239,660.25/409,194
  6. Step 6: Final answer
    x = 740,429.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.