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Finding the Third Proportional to 341,255 and 734,026

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Solution

The third proportional to 341,255 and 734,026 is: 1,578,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,255 : 734,026 = 734,026 : x
  2. Step 2: Convert to fraction form
    341,255/734,026 = 734,026/x
  3. Step 3: Cross multiply
    341,255x = 734,026 × 734,026
  4. Step 4: Simplify right side
    341,255x = 538,794,168,676
  5. Step 5: Solve for x
    x = 538,794,168,676/341,255
  6. Step 6: Final answer
    x = 1,578,860.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.