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Finding the Third Proportional to 343,467 and 748,023

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Solution

The third proportional to 343,467 and 748,023 is: 1,629,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,467 : 748,023 = 748,023 : x
  2. Step 2: Convert to fraction form
    343,467/748,023 = 748,023/x
  3. Step 3: Cross multiply
    343,467x = 748,023 × 748,023
  4. Step 4: Simplify right side
    343,467x = 559,538,408,529
  5. Step 5: Solve for x
    x = 559,538,408,529/343,467
  6. Step 6: Final answer
    x = 1,629,089.28

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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.