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Finding the Third Proportional to 258,018,764 and 557,083,288

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Solution

The third proportional to 258,018,764 and 557,083,288 is: 1,202,787,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,018,764 : 557,083,288 = 557,083,288 : x
  2. Step 2: Convert to fraction form
    258,018,764/557,083,288 = 557,083,288/x
  3. Step 3: Cross multiply
    258,018,764x = 557,083,288 × 557,083,288
  4. Step 4: Simplify right side
    258,018,764x = 310,341,789,768,890,944
  5. Step 5: Solve for x
    x = 310,341,789,768,890,944/258,018,764
  6. Step 6: Final answer
    x = 1,202,787,676.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.