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Finding the Third Proportional to 354,004 and 767,035

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Solution

The third proportional to 354,004 and 767,035 is: 1,661,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,004 : 767,035 = 767,035 : x
  2. Step 2: Convert to fraction form
    354,004/767,035 = 767,035/x
  3. Step 3: Cross multiply
    354,004x = 767,035 × 767,035
  4. Step 4: Simplify right side
    354,004x = 588,342,691,225
  5. Step 5: Solve for x
    x = 588,342,691,225/354,004
  6. Step 6: Final answer
    x = 1,661,966.22

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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.