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Finding the Third Proportional to 258,946,078 and 554,827,252

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Solution

The third proportional to 258,946,078 and 554,827,252 is: 1,188,792,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946,078 : 554,827,252 = 554,827,252 : x
  2. Step 2: Convert to fraction form
    258,946,078/554,827,252 = 554,827,252/x
  3. Step 3: Cross multiply
    258,946,078x = 554,827,252 × 554,827,252
  4. Step 4: Simplify right side
    258,946,078x = 307,833,279,561,871,488
  5. Step 5: Solve for x
    x = 307,833,279,561,871,488/258,946,078
  6. Step 6: Final answer
    x = 1,188,792,979.37

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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.