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Finding the Third Proportional to 343,638 and 755,028

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Solution

The third proportional to 343,638 and 755,028 is: 1,658,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,638 : 755,028 = 755,028 : x
  2. Step 2: Convert to fraction form
    343,638/755,028 = 755,028/x
  3. Step 3: Cross multiply
    343,638x = 755,028 × 755,028
  4. Step 4: Simplify right side
    343,638x = 570,067,280,784
  5. Step 5: Solve for x
    x = 570,067,280,784/343,638
  6. Step 6: Final answer
    x = 1,658,918.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.