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Finding the Third Proportional to 314,586,032 and 488,441,916

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Solution

The third proportional to 314,586,032 and 488,441,916 is: 758,379,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,586,032 : 488,441,916 = 488,441,916 : x
  2. Step 2: Convert to fraction form
    314,586,032/488,441,916 = 488,441,916/x
  3. Step 3: Cross multiply
    314,586,032x = 488,441,916 × 488,441,916
  4. Step 4: Simplify right side
    314,586,032x = 238,575,505,305,751,040
  5. Step 5: Solve for x
    x = 238,575,505,305,751,040/314,586,032
  6. Step 6: Final answer
    x = 758,379,206.44

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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.