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Finding the Third Proportional to 300,603,960 and 465,451,663.50

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Solution

The third proportional to 300,603,960 and 465,451,663.50 is: 720,699,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,603,960 : 465,451,663.50 = 465,451,663.50 : x
  2. Step 2: Convert to fraction form
    300,603,960/465,451,663.50 = 465,451,663.50/x
  3. Step 3: Cross multiply
    300,603,960x = 465,451,663.50 × 465,451,663.50
  4. Step 4: Simplify right side
    300,603,960x = 216,645,251,054,917,248
  5. Step 5: Solve for x
    x = 216,645,251,054,917,248/300,603,960
  6. Step 6: Final answer
    x = 720,699,923.76

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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.