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Finding the Third Proportional to 301,893 and 444,090

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Solution

The third proportional to 301,893 and 444,090 is: 653,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,893 : 444,090 = 444,090 : x
  2. Step 2: Convert to fraction form
    301,893/444,090 = 444,090/x
  3. Step 3: Cross multiply
    301,893x = 444,090 × 444,090
  4. Step 4: Simplify right side
    301,893x = 197,215,928,100
  5. Step 5: Solve for x
    x = 197,215,928,100/301,893
  6. Step 6: Final answer
    x = 653,264.33

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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.