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Finding the Third Proportional to 355,750 and 770,548

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Solution

The third proportional to 355,750 and 770,548 is: 1,668,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,750 : 770,548 = 770,548 : x
  2. Step 2: Convert to fraction form
    355,750/770,548 = 770,548/x
  3. Step 3: Cross multiply
    355,750x = 770,548 × 770,548
  4. Step 4: Simplify right side
    355,750x = 593,744,220,304
  5. Step 5: Solve for x
    x = 593,744,220,304/355,750
  6. Step 6: Final answer
    x = 1,668,992.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.