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Finding the Third Proportional to 264,294,606 and 579,412,918.50

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Solution

The third proportional to 264,294,606 and 579,412,918.50 is: 1,270,246,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294,606 : 579,412,918.50 = 579,412,918.50 : x
  2. Step 2: Convert to fraction form
    264,294,606/579,412,918.50 = 579,412,918.50/x
  3. Step 3: Cross multiply
    264,294,606x = 579,412,918.50 × 579,412,918.50
  4. Step 4: Simplify right side
    264,294,606x = 335,719,330,124,687,616
  5. Step 5: Solve for x
    x = 335,719,330,124,687,616/264,294,606
  6. Step 6: Final answer
    x = 1,270,246,620.64

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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.