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Finding the Third Proportional to 353,916 and 770,034

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Solution

The third proportional to 353,916 and 770,034 is: 1,675,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,916 : 770,034 = 770,034 : x
  2. Step 2: Convert to fraction form
    353,916/770,034 = 770,034/x
  3. Step 3: Cross multiply
    353,916x = 770,034 × 770,034
  4. Step 4: Simplify right side
    353,916x = 592,952,361,156
  5. Step 5: Solve for x
    x = 592,952,361,156/353,916
  6. Step 6: Final answer
    x = 1,675,404.22

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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.