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Finding the Third Proportional to 455,584 and 694,608

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Solution

The third proportional to 455,584 and 694,608 is: 1,059,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,584 : 694,608 = 694,608 : x
  2. Step 2: Convert to fraction form
    455,584/694,608 = 694,608/x
  3. Step 3: Cross multiply
    455,584x = 694,608 × 694,608
  4. Step 4: Simplify right side
    455,584x = 482,480,273,664
  5. Step 5: Solve for x
    x = 482,480,273,664/455,584
  6. Step 6: Final answer
    x = 1,059,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.