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Finding the Third Proportional to 342,616 and 522,014

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Solution

The third proportional to 342,616 and 522,014 is: 795,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,616 : 522,014 = 522,014 : x
  2. Step 2: Convert to fraction form
    342,616/522,014 = 522,014/x
  3. Step 3: Cross multiply
    342,616x = 522,014 × 522,014
  4. Step 4: Simplify right side
    342,616x = 272,498,616,196
  5. Step 5: Solve for x
    x = 272,498,616,196/342,616
  6. Step 6: Final answer
    x = 795,347.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.