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Finding the Third Proportional to 252,727.50 and 540,447

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Solution

The third proportional to 252,727.50 and 540,447 is: 1,155,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,727.50 : 540,447 = 540,447 : x
  2. Step 2: Convert to fraction form
    252,727.50/540,447 = 540,447/x
  3. Step 3: Cross multiply
    252,727.50x = 540,447 × 540,447
  4. Step 4: Simplify right side
    252,727.50x = 292,082,959,809
  5. Step 5: Solve for x
    x = 292,082,959,809/252,727.50
  6. Step 6: Final answer
    x = 1,155,722.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.