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Finding the Third Proportional to 359,108.25 and 771,137.25

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Solution

The third proportional to 359,108.25 and 771,137.25 is: 1,655,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,108.25 : 771,137.25 = 771,137.25 : x
  2. Step 2: Convert to fraction form
    359,108.25/771,137.25 = 771,137.25/x
  3. Step 3: Cross multiply
    359,108.25x = 771,137.25 × 771,137.25
  4. Step 4: Simplify right side
    359,108.25x = 594,652,658,337.56
  5. Step 5: Solve for x
    x = 594,652,658,337.56/359,108.25
  6. Step 6: Final answer
    x = 1,655,914.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.