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Finding the Third Proportional to 333,790,272 and 677,013,600

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Solution

The third proportional to 333,790,272 and 677,013,600 is: 1,373,159,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,790,272 : 677,013,600 = 677,013,600 : x
  2. Step 2: Convert to fraction form
    333,790,272/677,013,600 = 677,013,600/x
  3. Step 3: Cross multiply
    333,790,272x = 677,013,600 × 677,013,600
  4. Step 4: Simplify right side
    333,790,272x = 458,347,414,584,960,000
  5. Step 5: Solve for x
    x = 458,347,414,584,960,000/333,790,272
  6. Step 6: Final answer
    x = 1,373,159,894.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.