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Finding the Third Proportional to 258,411,798 and 397,196,757

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Solution

The third proportional to 258,411,798 and 397,196,757 is: 610,518,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,798 : 397,196,757 = 397,196,757 : x
  2. Step 2: Convert to fraction form
    258,411,798/397,196,757 = 397,196,757/x
  3. Step 3: Cross multiply
    258,411,798x = 397,196,757 × 397,196,757
  4. Step 4: Simplify right side
    258,411,798x = 157,765,263,771,317,056
  5. Step 5: Solve for x
    x = 157,765,263,771,317,056/258,411,798
  6. Step 6: Final answer
    x = 610,518,811.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.