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Finding the Third Proportional to 258,946,074 and 554,827,242

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Solution

The third proportional to 258,946,074 and 554,827,242 is: 1,188,792,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946,074 : 554,827,242 = 554,827,242 : x
  2. Step 2: Convert to fraction form
    258,946,074/554,827,242 = 554,827,242/x
  3. Step 3: Cross multiply
    258,946,074x = 554,827,242 × 554,827,242
  4. Step 4: Simplify right side
    258,946,074x = 307,833,268,465,326,592
  5. Step 5: Solve for x
    x = 307,833,268,465,326,592/258,946,074
  6. Step 6: Final answer
    x = 1,188,792,954.88

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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.