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Finding the Third Proportional to 305,416 and 449,004

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Solution

The third proportional to 305,416 and 449,004 is: 660,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416 : 449,004 = 449,004 : x
  2. Step 2: Convert to fraction form
    305,416/449,004 = 449,004/x
  3. Step 3: Cross multiply
    305,416x = 449,004 × 449,004
  4. Step 4: Simplify right side
    305,416x = 201,604,592,016
  5. Step 5: Solve for x
    x = 201,604,592,016/305,416
  6. Step 6: Final answer
    x = 660,098.33

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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.