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Finding the Third Proportional to 303,312 and 475,764

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Solution

The third proportional to 303,312 and 475,764 is: 746,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,312 : 475,764 = 475,764 : x
  2. Step 2: Convert to fraction form
    303,312/475,764 = 475,764/x
  3. Step 3: Cross multiply
    303,312x = 475,764 × 475,764
  4. Step 4: Simplify right side
    303,312x = 226,351,383,696
  5. Step 5: Solve for x
    x = 226,351,383,696/303,312
  6. Step 6: Final answer
    x = 746,265.84

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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.