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Finding the Third Proportional to 342,850 and 746,628

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Solution

The third proportional to 342,850 and 746,628 is: 1,625,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,850 : 746,628 = 746,628 : x
  2. Step 2: Convert to fraction form
    342,850/746,628 = 746,628/x
  3. Step 3: Cross multiply
    342,850x = 746,628 × 746,628
  4. Step 4: Simplify right side
    342,850x = 557,453,370,384
  5. Step 5: Solve for x
    x = 557,453,370,384/342,850
  6. Step 6: Final answer
    x = 1,625,939.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.