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Finding the Third Proportional to 354,588 and 768,251

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Solution

The third proportional to 354,588 and 768,251 is: 1,664,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,588 : 768,251 = 768,251 : x
  2. Step 2: Convert to fraction form
    354,588/768,251 = 768,251/x
  3. Step 3: Cross multiply
    354,588x = 768,251 × 768,251
  4. Step 4: Simplify right side
    354,588x = 590,209,599,001
  5. Step 5: Solve for x
    x = 590,209,599,001/354,588
  6. Step 6: Final answer
    x = 1,664,494.00

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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.