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Finding the Third Proportional to 340,274,250 and 527,908,019

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Solution

The third proportional to 340,274,250 and 527,908,019 is: 819,006,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,274,250 : 527,908,019 = 527,908,019 : x
  2. Step 2: Convert to fraction form
    340,274,250/527,908,019 = 527,908,019/x
  3. Step 3: Cross multiply
    340,274,250x = 527,908,019 × 527,908,019
  4. Step 4: Simplify right side
    340,274,250x = 278,686,876,524,504,352
  5. Step 5: Solve for x
    x = 278,686,876,524,504,352/340,274,250
  6. Step 6: Final answer
    x = 819,006,658.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.