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Finding the Third Proportional to 446,223 and 650,643

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Solution

The third proportional to 446,223 and 650,643 is: 948,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,223 : 650,643 = 650,643 : x
  2. Step 2: Convert to fraction form
    446,223/650,643 = 650,643/x
  3. Step 3: Cross multiply
    446,223x = 650,643 × 650,643
  4. Step 4: Simplify right side
    446,223x = 423,336,313,449
  5. Step 5: Solve for x
    x = 423,336,313,449/446,223
  6. Step 6: Final answer
    x = 948,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.