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Finding the Third Proportional to 343,419 and 755,352

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Solution

The third proportional to 343,419 and 755,352 is: 1,661,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,419 : 755,352 = 755,352 : x
  2. Step 2: Convert to fraction form
    343,419/755,352 = 755,352/x
  3. Step 3: Cross multiply
    343,419x = 755,352 × 755,352
  4. Step 4: Simplify right side
    343,419x = 570,556,643,904
  5. Step 5: Solve for x
    x = 570,556,643,904/343,419
  6. Step 6: Final answer
    x = 1,661,400.92

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