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Finding the Third Proportional to 354,573 and 768,222

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Solution

The third proportional to 354,573 and 768,222 is: 1,664,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,573 : 768,222 = 768,222 : x
  2. Step 2: Convert to fraction form
    354,573/768,222 = 768,222/x
  3. Step 3: Cross multiply
    354,573x = 768,222 × 768,222
  4. Step 4: Simplify right side
    354,573x = 590,165,041,284
  5. Step 5: Solve for x
    x = 590,165,041,284/354,573
  6. Step 6: Final answer
    x = 1,664,438.75

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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.