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Finding the Third Proportional to 342,906 and 753,686

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Solution

The third proportional to 342,906 and 753,686 is: 1,656,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,906 : 753,686 = 753,686 : x
  2. Step 2: Convert to fraction form
    342,906/753,686 = 753,686/x
  3. Step 3: Cross multiply
    342,906x = 753,686 × 753,686
  4. Step 4: Simplify right side
    342,906x = 568,042,586,596
  5. Step 5: Solve for x
    x = 568,042,586,596/342,906
  6. Step 6: Final answer
    x = 1,656,554.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.