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Finding the Third Proportional to 354,001.50 and 767,031

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Solution

The third proportional to 354,001.50 and 767,031 is: 1,661,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,001.50 : 767,031 = 767,031 : x
  2. Step 2: Convert to fraction form
    354,001.50/767,031 = 767,031/x
  3. Step 3: Cross multiply
    354,001.50x = 767,031 × 767,031
  4. Step 4: Simplify right side
    354,001.50x = 588,336,554,961
  5. Step 5: Solve for x
    x = 588,336,554,961/354,001.50
  6. Step 6: Final answer
    x = 1,661,960.63

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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.