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Finding the Third Proportional to 300,603,964 and 465,451,670

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Solution

The third proportional to 300,603,964 and 465,451,670 is: 720,699,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,603,964 : 465,451,670 = 465,451,670 : x
  2. Step 2: Convert to fraction form
    300,603,964/465,451,670 = 465,451,670/x
  3. Step 3: Cross multiply
    300,603,964x = 465,451,670 × 465,451,670
  4. Step 4: Simplify right side
    300,603,964x = 216,645,257,105,788,896
  5. Step 5: Solve for x
    x = 216,645,257,105,788,896/300,603,964
  6. Step 6: Final answer
    x = 720,699,934.30

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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.