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Finding the Third Proportional to 343,416 and 755,348

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Solution

The third proportional to 343,416 and 755,348 is: 1,661,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,416 : 755,348 = 755,348 : x
  2. Step 2: Convert to fraction form
    343,416/755,348 = 755,348/x
  3. Step 3: Cross multiply
    343,416x = 755,348 × 755,348
  4. Step 4: Simplify right side
    343,416x = 570,550,601,104
  5. Step 5: Solve for x
    x = 570,550,601,104/343,416
  6. Step 6: Final answer
    x = 1,661,397.84

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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.