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Finding the Third Proportional to 410,027.50 and 887,447

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Solution

The third proportional to 410,027.50 and 887,447 is: 1,920,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027.50 : 887,447 = 887,447 : x
  2. Step 2: Convert to fraction form
    410,027.50/887,447 = 887,447/x
  3. Step 3: Cross multiply
    410,027.50x = 887,447 × 887,447
  4. Step 4: Simplify right side
    410,027.50x = 787,562,177,809
  5. Step 5: Solve for x
    x = 787,562,177,809/410,027.50
  6. Step 6: Final answer
    x = 1,920,754.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.