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Finding the Third Proportional to 330,228,530 and 771,139,301

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Solution

The third proportional to 330,228,530 and 771,139,301 is: 1,800,740,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,228,530 : 771,139,301 = 771,139,301 : x
  2. Step 2: Convert to fraction form
    330,228,530/771,139,301 = 771,139,301/x
  3. Step 3: Cross multiply
    330,228,530x = 771,139,301 × 771,139,301
  4. Step 4: Simplify right side
    330,228,530x = 594,655,821,546,768,640
  5. Step 5: Solve for x
    x = 594,655,821,546,768,640/330,228,530
  6. Step 6: Final answer
    x = 1,800,740,298.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.