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Finding the Third Proportional to 300,383,592.75 and 623,788,600.50

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Solution

The third proportional to 300,383,592.75 and 623,788,600.50 is: 1,295,384,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,383,592.75 : 623,788,600.50 = 623,788,600.50 : x
  2. Step 2: Convert to fraction form
    300,383,592.75/623,788,600.50 = 623,788,600.50/x
  3. Step 3: Cross multiply
    300,383,592.75x = 623,788,600.50 × 623,788,600.50
  4. Step 4: Simplify right side
    300,383,592.75x = 389,112,218,113,748,608
  5. Step 5: Solve for x
    x = 389,112,218,113,748,608/300,383,592.75
  6. Step 6: Final answer
    x = 1,295,384,393.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.