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Finding the Third Proportional to 346,512 and 746,592

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Solution

The third proportional to 346,512 and 746,592 is: 1,608,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 746,592 = 746,592 : x
  2. Step 2: Convert to fraction form
    346,512/746,592 = 746,592/x
  3. Step 3: Cross multiply
    346,512x = 746,592 × 746,592
  4. Step 4: Simplify right side
    346,512x = 557,399,614,464
  5. Step 5: Solve for x
    x = 557,399,614,464/346,512
  6. Step 6: Final answer
    x = 1,608,601.19

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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.