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Finding the Third Proportional to 341,608 and 542,825

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Solution

The third proportional to 341,608 and 542,825 is: 862,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,608 : 542,825 = 542,825 : x
  2. Step 2: Convert to fraction form
    341,608/542,825 = 542,825/x
  3. Step 3: Cross multiply
    341,608x = 542,825 × 542,825
  4. Step 4: Simplify right side
    341,608x = 294,658,980,625
  5. Step 5: Solve for x
    x = 294,658,980,625/341,608
  6. Step 6: Final answer
    x = 862,564.64

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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.