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Finding the Third Proportional to 270,485.25 and 421,037.25

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Solution

The third proportional to 270,485.25 and 421,037.25 is: 655,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,485.25 : 421,037.25 = 421,037.25 : x
  2. Step 2: Convert to fraction form
    270,485.25/421,037.25 = 421,037.25/x
  3. Step 3: Cross multiply
    270,485.25x = 421,037.25 × 421,037.25
  4. Step 4: Simplify right side
    270,485.25x = 177,272,365,887.56
  5. Step 5: Solve for x
    x = 177,272,365,887.56/270,485.25
  6. Step 6: Final answer
    x = 655,386.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.