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Finding the Third Proportional to 353,952 and 770,103

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Solution

The third proportional to 353,952 and 770,103 is: 1,675,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,952 : 770,103 = 770,103 : x
  2. Step 2: Convert to fraction form
    353,952/770,103 = 770,103/x
  3. Step 3: Cross multiply
    353,952x = 770,103 × 770,103
  4. Step 4: Simplify right side
    353,952x = 593,058,630,609
  5. Step 5: Solve for x
    x = 593,058,630,609/353,952
  6. Step 6: Final answer
    x = 1,675,534.06

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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.