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Finding the Third Proportional to 343,450 and 747,914

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Solution

The third proportional to 343,450 and 747,914 is: 1,628,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,450 : 747,914 = 747,914 : x
  2. Step 2: Convert to fraction form
    343,450/747,914 = 747,914/x
  3. Step 3: Cross multiply
    343,450x = 747,914 × 747,914
  4. Step 4: Simplify right side
    343,450x = 559,375,351,396
  5. Step 5: Solve for x
    x = 559,375,351,396/343,450
  6. Step 6: Final answer
    x = 1,628,695.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.