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Finding the Third Proportional to 303,150 and 470,718

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Solution

The third proportional to 303,150 and 470,718 is: 730,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,150 : 470,718 = 470,718 : x
  2. Step 2: Convert to fraction form
    303,150/470,718 = 470,718/x
  3. Step 3: Cross multiply
    303,150x = 470,718 × 470,718
  4. Step 4: Simplify right side
    303,150x = 221,575,435,524
  5. Step 5: Solve for x
    x = 221,575,435,524/303,150
  6. Step 6: Final answer
    x = 730,910.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.