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Finding the Third Proportional to 269,298.75 and 409,543.50

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Solution

The third proportional to 269,298.75 and 409,543.50 is: 622,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,298.75 : 409,543.50 = 409,543.50 : x
  2. Step 2: Convert to fraction form
    269,298.75/409,543.50 = 409,543.50/x
  3. Step 3: Cross multiply
    269,298.75x = 409,543.50 × 409,543.50
  4. Step 4: Simplify right side
    269,298.75x = 167,725,878,392.25
  5. Step 5: Solve for x
    x = 167,725,878,392.25/269,298.75
  6. Step 6: Final answer
    x = 622,824.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.