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Finding the Third Proportional to 484,134 and 746,617

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Solution

The third proportional to 484,134 and 746,617 is: 1,151,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,134 : 746,617 = 746,617 : x
  2. Step 2: Convert to fraction form
    484,134/746,617 = 746,617/x
  3. Step 3: Cross multiply
    484,134x = 746,617 × 746,617
  4. Step 4: Simplify right side
    484,134x = 557,436,944,689
  5. Step 5: Solve for x
    x = 557,436,944,689/484,134
  6. Step 6: Final answer
    x = 1,151,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.