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Finding the Third Proportional to 414,756 and 613,382

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Solution

The third proportional to 414,756 and 613,382 is: 907,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,756 : 613,382 = 613,382 : x
  2. Step 2: Convert to fraction form
    414,756/613,382 = 613,382/x
  3. Step 3: Cross multiply
    414,756x = 613,382 × 613,382
  4. Step 4: Simplify right side
    414,756x = 376,237,477,924
  5. Step 5: Solve for x
    x = 376,237,477,924/414,756
  6. Step 6: Final answer
    x = 907,129.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.