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Finding the Third Proportional to 304,574 and 446,469

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Solution

The third proportional to 304,574 and 446,469 is: 654,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,574 : 446,469 = 446,469 : x
  2. Step 2: Convert to fraction form
    304,574/446,469 = 446,469/x
  3. Step 3: Cross multiply
    304,574x = 446,469 × 446,469
  4. Step 4: Simplify right side
    304,574x = 199,334,567,961
  5. Step 5: Solve for x
    x = 199,334,567,961/304,574
  6. Step 6: Final answer
    x = 654,470.07

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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.