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Finding the Third Proportional to 303,843 and 662,358

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Solution

The third proportional to 303,843 and 662,358 is: 1,443,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,843 : 662,358 = 662,358 : x
  2. Step 2: Convert to fraction form
    303,843/662,358 = 662,358/x
  3. Step 3: Cross multiply
    303,843x = 662,358 × 662,358
  4. Step 4: Simplify right side
    303,843x = 438,718,120,164
  5. Step 5: Solve for x
    x = 438,718,120,164/303,843
  6. Step 6: Final answer
    x = 1,443,897.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.