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Finding the Third Proportional to 294,481,375 and 456,603,503

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Solution

The third proportional to 294,481,375 and 456,603,503 is: 707,979,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,481,375 : 456,603,503 = 456,603,503 : x
  2. Step 2: Convert to fraction form
    294,481,375/456,603,503 = 456,603,503/x
  3. Step 3: Cross multiply
    294,481,375x = 456,603,503 × 456,603,503
  4. Step 4: Simplify right side
    294,481,375x = 208,486,758,951,871,008
  5. Step 5: Solve for x
    x = 208,486,758,951,871,008/294,481,375
  6. Step 6: Final answer
    x = 707,979,439.96

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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.