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Finding the Third Proportional to 380,051,946 and 587,530,755

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Solution

The third proportional to 380,051,946 and 587,530,755 is: 908,276,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,051,946 : 587,530,755 = 587,530,755 : x
  2. Step 2: Convert to fraction form
    380,051,946/587,530,755 = 587,530,755/x
  3. Step 3: Cross multiply
    380,051,946x = 587,530,755 × 587,530,755
  4. Step 4: Simplify right side
    380,051,946x = 345,192,388,070,870,016
  5. Step 5: Solve for x
    x = 345,192,388,070,870,016/380,051,946
  6. Step 6: Final answer
    x = 908,276,859.79

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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.