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Finding the Third Proportional to 299,145 and 444,020.50

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Solution

The third proportional to 299,145 and 444,020.50 is: 659,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145 : 444,020.50 = 444,020.50 : x
  2. Step 2: Convert to fraction form
    299,145/444,020.50 = 444,020.50/x
  3. Step 3: Cross multiply
    299,145x = 444,020.50 × 444,020.50
  4. Step 4: Simplify right side
    299,145x = 197,154,204,420.25
  5. Step 5: Solve for x
    x = 197,154,204,420.25/299,145
  6. Step 6: Final answer
    x = 659,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.