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Finding the Third Proportional to 354,303 and 755,910

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Solution

The third proportional to 354,303 and 755,910 is: 1,612,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,303 : 755,910 = 755,910 : x
  2. Step 2: Convert to fraction form
    354,303/755,910 = 755,910/x
  3. Step 3: Cross multiply
    354,303x = 755,910 × 755,910
  4. Step 4: Simplify right side
    354,303x = 571,399,928,100
  5. Step 5: Solve for x
    x = 571,399,928,100/354,303
  6. Step 6: Final answer
    x = 1,612,743.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.