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Finding the Third Proportional to 446,472 and 690,444

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Solution

The third proportional to 446,472 and 690,444 is: 1,067,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,472 : 690,444 = 690,444 : x
  2. Step 2: Convert to fraction form
    446,472/690,444 = 690,444/x
  3. Step 3: Cross multiply
    446,472x = 690,444 × 690,444
  4. Step 4: Simplify right side
    446,472x = 476,712,917,136
  5. Step 5: Solve for x
    x = 476,712,917,136/446,472
  6. Step 6: Final answer
    x = 1,067,733.07

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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.