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Finding the Third Proportional to 288,702,300 and 673,661,982

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Solution

The third proportional to 288,702,300 and 673,661,982 is: 1,571,932,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702,300 : 673,661,982 = 673,661,982 : x
  2. Step 2: Convert to fraction form
    288,702,300/673,661,982 = 673,661,982/x
  3. Step 3: Cross multiply
    288,702,300x = 673,661,982 × 673,661,982
  4. Step 4: Simplify right side
    288,702,300x = 453,820,465,992,168,320
  5. Step 5: Solve for x
    x = 453,820,465,992,168,320/288,702,300
  6. Step 6: Final answer
    x = 1,571,932,284.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.