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Finding the Third Proportional to 346,488 and 746,544

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Solution

The third proportional to 346,488 and 746,544 is: 1,608,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488 : 746,544 = 746,544 : x
  2. Step 2: Convert to fraction form
    346,488/746,544 = 746,544/x
  3. Step 3: Cross multiply
    346,488x = 746,544 × 746,544
  4. Step 4: Simplify right side
    346,488x = 557,327,943,936
  5. Step 5: Solve for x
    x = 557,327,943,936/346,488
  6. Step 6: Final answer
    x = 1,608,505.76

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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.