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Finding the Third Proportional to 341,608.50 and 542,825.25

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Solution

The third proportional to 341,608.50 and 542,825.25 is: 862,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,608.50 : 542,825.25 = 542,825.25 : x
  2. Step 2: Convert to fraction form
    341,608.50/542,825.25 = 542,825.25/x
  3. Step 3: Cross multiply
    341,608.50x = 542,825.25 × 542,825.25
  4. Step 4: Simplify right side
    341,608.50x = 294,659,252,037.56
  5. Step 5: Solve for x
    x = 294,659,252,037.56/341,608.50
  6. Step 6: Final answer
    x = 862,564.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.