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Finding the Third Proportional to 343,703.25 and 755,112.38

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Solution

The third proportional to 343,703.25 and 755,112.38 is: 1,658,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,703.25 : 755,112.38 = 755,112.38 : x
  2. Step 2: Convert to fraction form
    343,703.25/755,112.38 = 755,112.38/x
  3. Step 3: Cross multiply
    343,703.25x = 755,112.38 × 755,112.38
  4. Step 4: Simplify right side
    343,703.25x = 570,194,698,878.14
  5. Step 5: Solve for x
    x = 570,194,698,878.14/343,703.25
  6. Step 6: Final answer
    x = 1,658,973.84

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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.