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Finding the Third Proportional to 299,056 and 444,264

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Solution

The third proportional to 299,056 and 444,264 is: 659,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,056 : 444,264 = 444,264 : x
  2. Step 2: Convert to fraction form
    299,056/444,264 = 444,264/x
  3. Step 3: Cross multiply
    299,056x = 444,264 × 444,264
  4. Step 4: Simplify right side
    299,056x = 197,370,501,696
  5. Step 5: Solve for x
    x = 197,370,501,696/299,056
  6. Step 6: Final answer
    x = 659,978.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.