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Finding the Third Proportional to 354,004.50 and 767,037

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Solution

The third proportional to 354,004.50 and 767,037 is: 1,661,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,004.50 : 767,037 = 767,037 : x
  2. Step 2: Convert to fraction form
    354,004.50/767,037 = 767,037/x
  3. Step 3: Cross multiply
    354,004.50x = 767,037 × 767,037
  4. Step 4: Simplify right side
    354,004.50x = 588,345,759,369
  5. Step 5: Solve for x
    x = 588,345,759,369/354,004.50
  6. Step 6: Final answer
    x = 1,661,972.54

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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.