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Finding the Third Proportional to 446,967 and 573,901

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Solution

The third proportional to 446,967 and 573,901 is: 736,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,967 : 573,901 = 573,901 : x
  2. Step 2: Convert to fraction form
    446,967/573,901 = 573,901/x
  3. Step 3: Cross multiply
    446,967x = 573,901 × 573,901
  4. Step 4: Simplify right side
    446,967x = 329,362,357,801
  5. Step 5: Solve for x
    x = 329,362,357,801/446,967
  6. Step 6: Final answer
    x = 736,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.