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Finding the Third Proportional to 303,484 and 476,010

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Solution

The third proportional to 303,484 and 476,010 is: 746,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,484 : 476,010 = 476,010 : x
  2. Step 2: Convert to fraction form
    303,484/476,010 = 476,010/x
  3. Step 3: Cross multiply
    303,484x = 476,010 × 476,010
  4. Step 4: Simplify right side
    303,484x = 226,585,520,100
  5. Step 5: Solve for x
    x = 226,585,520,100/303,484
  6. Step 6: Final answer
    x = 746,614.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.