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Finding the Third Proportional to 303,478 and 664,102

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Solution

The third proportional to 303,478 and 664,102 is: 1,453,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,478 : 664,102 = 664,102 : x
  2. Step 2: Convert to fraction form
    303,478/664,102 = 664,102/x
  3. Step 3: Cross multiply
    303,478x = 664,102 × 664,102
  4. Step 4: Simplify right side
    303,478x = 441,031,466,404
  5. Step 5: Solve for x
    x = 441,031,466,404/303,478
  6. Step 6: Final answer
    x = 1,453,256.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.