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Finding the Third Proportional to 455,643 and 701,326

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Solution

The third proportional to 455,643 and 701,326 is: 1,079,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,643 : 701,326 = 701,326 : x
  2. Step 2: Convert to fraction form
    455,643/701,326 = 701,326/x
  3. Step 3: Cross multiply
    455,643x = 701,326 × 701,326
  4. Step 4: Simplify right side
    455,643x = 491,858,158,276
  5. Step 5: Solve for x
    x = 491,858,158,276/455,643
  6. Step 6: Final answer
    x = 1,079,481.43

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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.