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Finding the Third Proportional to 354,810.50 and 768,676.50

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Solution

The third proportional to 354,810.50 and 768,676.50 is: 1,665,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,810.50 : 768,676.50 = 768,676.50 : x
  2. Step 2: Convert to fraction form
    354,810.50/768,676.50 = 768,676.50/x
  3. Step 3: Cross multiply
    354,810.50x = 768,676.50 × 768,676.50
  4. Step 4: Simplify right side
    354,810.50x = 590,863,561,652.25
  5. Step 5: Solve for x
    x = 590,863,561,652.25/354,810.50
  6. Step 6: Final answer
    x = 1,665,293.34

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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.