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Finding the Third Proportional to 301,444 and 453,030

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Solution

The third proportional to 301,444 and 453,030 is: 680,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,444 : 453,030 = 453,030 : x
  2. Step 2: Convert to fraction form
    301,444/453,030 = 453,030/x
  3. Step 3: Cross multiply
    301,444x = 453,030 × 453,030
  4. Step 4: Simplify right side
    301,444x = 205,236,180,900
  5. Step 5: Solve for x
    x = 205,236,180,900/301,444
  6. Step 6: Final answer
    x = 680,843.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.