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Finding the Third Proportional to 265,011.75 and 544,056.75

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Solution

The third proportional to 265,011.75 and 544,056.75 is: 1,116,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,011.75 : 544,056.75 = 544,056.75 : x
  2. Step 2: Convert to fraction form
    265,011.75/544,056.75 = 544,056.75/x
  3. Step 3: Cross multiply
    265,011.75x = 544,056.75 × 544,056.75
  4. Step 4: Simplify right side
    265,011.75x = 295,997,747,220.56
  5. Step 5: Solve for x
    x = 295,997,747,220.56/265,011.75
  6. Step 6: Final answer
    x = 1,116,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.