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Finding the Third Proportional to 446,478 and 690,453

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Solution

The third proportional to 446,478 and 690,453 is: 1,067,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,478 : 690,453 = 690,453 : x
  2. Step 2: Convert to fraction form
    446,478/690,453 = 690,453/x
  3. Step 3: Cross multiply
    446,478x = 690,453 × 690,453
  4. Step 4: Simplify right side
    446,478x = 476,725,345,209
  5. Step 5: Solve for x
    x = 476,725,345,209/446,478
  6. Step 6: Final answer
    x = 1,067,746.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.