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Finding the Third Proportional to 304,571 and 446,468

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Solution

The third proportional to 304,571 and 446,468 is: 654,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,571 : 446,468 = 446,468 : x
  2. Step 2: Convert to fraction form
    304,571/446,468 = 446,468/x
  3. Step 3: Cross multiply
    304,571x = 446,468 × 446,468
  4. Step 4: Simplify right side
    304,571x = 199,333,675,024
  5. Step 5: Solve for x
    x = 199,333,675,024/304,571
  6. Step 6: Final answer
    x = 654,473.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.