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Finding the Third Proportional to 232,917,580 and 498,554,042

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Solution

The third proportional to 232,917,580 and 498,554,042 is: 1,067,142,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,917,580 : 498,554,042 = 498,554,042 : x
  2. Step 2: Convert to fraction form
    232,917,580/498,554,042 = 498,554,042/x
  3. Step 3: Cross multiply
    232,917,580x = 498,554,042 × 498,554,042
  4. Step 4: Simplify right side
    232,917,580x = 248,556,132,794,537,760
  5. Step 5: Solve for x
    x = 248,556,132,794,537,760/232,917,580
  6. Step 6: Final answer
    x = 1,067,142,002.74

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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.