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Finding the Third Proportional to 288,702,297 and 673,661,974.50

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Solution

The third proportional to 288,702,297 and 673,661,974.50 is: 1,571,932,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702,297 : 673,661,974.50 = 673,661,974.50 : x
  2. Step 2: Convert to fraction form
    288,702,297/673,661,974.50 = 673,661,974.50/x
  3. Step 3: Cross multiply
    288,702,297x = 673,661,974.50 × 673,661,974.50
  4. Step 4: Simplify right side
    288,702,297x = 453,820,455,887,238,656
  5. Step 5: Solve for x
    x = 453,820,455,887,238,656/288,702,297
  6. Step 6: Final answer
    x = 1,571,932,265.88

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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.