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Finding the Third Proportional to 239,283,288 and 520,556,976

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Solution

The third proportional to 239,283,288 and 520,556,976 is: 1,132,463,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,283,288 : 520,556,976 = 520,556,976 : x
  2. Step 2: Convert to fraction form
    239,283,288/520,556,976 = 520,556,976/x
  3. Step 3: Cross multiply
    239,283,288x = 520,556,976 × 520,556,976
  4. Step 4: Simplify right side
    239,283,288x = 270,979,565,262,264,576
  5. Step 5: Solve for x
    x = 270,979,565,262,264,576/239,283,288
  6. Step 6: Final answer
    x = 1,132,463,397.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.