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Finding the Third Proportional to 355,755 and 770,559

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Solution

The third proportional to 355,755 and 770,559 is: 1,669,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755 : 770,559 = 770,559 : x
  2. Step 2: Convert to fraction form
    355,755/770,559 = 770,559/x
  3. Step 3: Cross multiply
    355,755x = 770,559 × 770,559
  4. Step 4: Simplify right side
    355,755x = 593,761,172,481
  5. Step 5: Solve for x
    x = 593,761,172,481/355,755
  6. Step 6: Final answer
    x = 1,669,017.08

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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.