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Finding the Third Proportional to 258,430,627 and 567,074,227

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Solution

The third proportional to 258,430,627 and 567,074,227 is: 1,244,330,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,430,627 : 567,074,227 = 567,074,227 : x
  2. Step 2: Convert to fraction form
    258,430,627/567,074,227 = 567,074,227/x
  3. Step 3: Cross multiply
    258,430,627x = 567,074,227 × 567,074,227
  4. Step 4: Simplify right side
    258,430,627x = 321,573,178,927,647,552
  5. Step 5: Solve for x
    x = 321,573,178,927,647,552/258,430,627
  6. Step 6: Final answer
    x = 1,244,330,761.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.