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Finding the Third Proportional to 258,411,984 and 397,197,048

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Solution

The third proportional to 258,411,984 and 397,197,048 is: 610,519,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,984 : 397,197,048 = 397,197,048 : x
  2. Step 2: Convert to fraction form
    258,411,984/397,197,048 = 397,197,048/x
  3. Step 3: Cross multiply
    258,411,984x = 397,197,048 × 397,197,048
  4. Step 4: Simplify right side
    258,411,984x = 157,765,494,939,914,304
  5. Step 5: Solve for x
    x = 157,765,494,939,914,304/258,411,984
  6. Step 6: Final answer
    x = 610,519,266.55

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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.