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Finding the Third Proportional to 353,935 and 770,078

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Solution

The third proportional to 353,935 and 770,078 is: 1,675,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,935 : 770,078 = 770,078 : x
  2. Step 2: Convert to fraction form
    353,935/770,078 = 770,078/x
  3. Step 3: Cross multiply
    353,935x = 770,078 × 770,078
  4. Step 4: Simplify right side
    353,935x = 593,020,126,084
  5. Step 5: Solve for x
    x = 593,020,126,084/353,935
  6. Step 6: Final answer
    x = 1,675,505.75

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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.