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Finding the Third Proportional to 341,614 and 542,834

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Solution

The third proportional to 341,614 and 542,834 is: 862,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,614 : 542,834 = 542,834 : x
  2. Step 2: Convert to fraction form
    341,614/542,834 = 542,834/x
  3. Step 3: Cross multiply
    341,614x = 542,834 × 542,834
  4. Step 4: Simplify right side
    341,614x = 294,668,751,556
  5. Step 5: Solve for x
    x = 294,668,751,556/341,614
  6. Step 6: Final answer
    x = 862,578.09

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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.