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Finding the Third Proportional to 496,718 and 746,529

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Solution

The third proportional to 496,718 and 746,529 is: 1,121,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,718 : 746,529 = 746,529 : x
  2. Step 2: Convert to fraction form
    496,718/746,529 = 746,529/x
  3. Step 3: Cross multiply
    496,718x = 746,529 × 746,529
  4. Step 4: Simplify right side
    496,718x = 557,305,547,841
  5. Step 5: Solve for x
    x = 557,305,547,841/496,718
  6. Step 6: Final answer
    x = 1,121,975.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.