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Finding the Third Proportional to 303,245,519.34 and 433,344,914.72

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Solution

The third proportional to 303,245,519.34 and 433,344,914.72 is: 619,259,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,245,519.34 : 433,344,914.72 = 433,344,914.72 : x
  2. Step 2: Convert to fraction form
    303,245,519.34/433,344,914.72 = 433,344,914.72/x
  3. Step 3: Cross multiply
    303,245,519.34x = 433,344,914.72 × 433,344,914.72
  4. Step 4: Simplify right side
    303,245,519.34x = 187,787,815,112,609,376
  5. Step 5: Solve for x
    x = 187,787,815,112,609,376/303,245,519.34
  6. Step 6: Final answer
    x = 619,259,982.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.