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Finding the Third Proportional to 303,032.34 and 451,921.03

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Solution

The third proportional to 303,032.34 and 451,921.03 is: 673,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,032.34 : 451,921.03 = 451,921.03 : x
  2. Step 2: Convert to fraction form
    303,032.34/451,921.03 = 451,921.03/x
  3. Step 3: Cross multiply
    303,032.34x = 451,921.03 × 451,921.03
  4. Step 4: Simplify right side
    303,032.34x = 204,232,618,486.06
  5. Step 5: Solve for x
    x = 204,232,618,486.06/303,032.34
  6. Step 6: Final answer
    x = 673,963.10

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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.