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Finding the Third Proportional to 303,734 and 453,089

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Solution

The third proportional to 303,734 and 453,089 is: 675,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,734 : 453,089 = 453,089 : x
  2. Step 2: Convert to fraction form
    303,734/453,089 = 453,089/x
  3. Step 3: Cross multiply
    303,734x = 453,089 × 453,089
  4. Step 4: Simplify right side
    303,734x = 205,289,641,921
  5. Step 5: Solve for x
    x = 205,289,641,921/303,734
  6. Step 6: Final answer
    x = 675,886.28

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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.