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Finding the Third Proportional to 264,294,552 and 579,412,824

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Solution

The third proportional to 264,294,552 and 579,412,824 is: 1,270,246,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294,552 : 579,412,824 = 579,412,824 : x
  2. Step 2: Convert to fraction form
    264,294,552/579,412,824 = 579,412,824/x
  3. Step 3: Cross multiply
    264,294,552x = 579,412,824 × 579,412,824
  4. Step 4: Simplify right side
    264,294,552x = 335,719,220,615,654,976
  5. Step 5: Solve for x
    x = 335,719,220,615,654,976/264,294,552
  6. Step 6: Final answer
    x = 1,270,246,465.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.