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Finding the Third Proportional to 346,504 and 746,576

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Solution

The third proportional to 346,504 and 746,576 is: 1,608,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,504 : 746,576 = 746,576 : x
  2. Step 2: Convert to fraction form
    346,504/746,576 = 746,576/x
  3. Step 3: Cross multiply
    346,504x = 746,576 × 746,576
  4. Step 4: Simplify right side
    346,504x = 557,375,723,776
  5. Step 5: Solve for x
    x = 557,375,723,776/346,504
  6. Step 6: Final answer
    x = 1,608,569.38

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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.