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Finding the Third Proportional to 303,490 and 476,019

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Solution

The third proportional to 303,490 and 476,019 is: 746,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,490 : 476,019 = 476,019 : x
  2. Step 2: Convert to fraction form
    303,490/476,019 = 476,019/x
  3. Step 3: Cross multiply
    303,490x = 476,019 × 476,019
  4. Step 4: Simplify right side
    303,490x = 226,594,088,361
  5. Step 5: Solve for x
    x = 226,594,088,361/303,490
  6. Step 6: Final answer
    x = 746,627.86

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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.