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Finding the Third Proportional to 348,927 and 755,820

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Solution

The third proportional to 348,927 and 755,820 is: 1,637,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,927 : 755,820 = 755,820 : x
  2. Step 2: Convert to fraction form
    348,927/755,820 = 755,820/x
  3. Step 3: Cross multiply
    348,927x = 755,820 × 755,820
  4. Step 4: Simplify right side
    348,927x = 571,263,872,400
  5. Step 5: Solve for x
    x = 571,263,872,400/348,927
  6. Step 6: Final answer
    x = 1,637,201.69

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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.