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Finding the Third Proportional to 258,946,080 and 554,827,256

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Solution

The third proportional to 258,946,080 and 554,827,256 is: 1,188,792,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946,080 : 554,827,256 = 554,827,256 : x
  2. Step 2: Convert to fraction form
    258,946,080/554,827,256 = 554,827,256/x
  3. Step 3: Cross multiply
    258,946,080x = 554,827,256 × 554,827,256
  4. Step 4: Simplify right side
    258,946,080x = 307,833,284,000,489,536
  5. Step 5: Solve for x
    x = 307,833,284,000,489,536/258,946,080
  6. Step 6: Final answer
    x = 1,188,792,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.