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Finding the Third Proportional to 314,524,530 and 492,321,084

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Solution

The third proportional to 314,524,530 and 492,321,084 is: 770,623,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,524,530 : 492,321,084 = 492,321,084 : x
  2. Step 2: Convert to fraction form
    314,524,530/492,321,084 = 492,321,084/x
  3. Step 3: Cross multiply
    314,524,530x = 492,321,084 × 492,321,084
  4. Step 4: Simplify right side
    314,524,530x = 242,380,049,750,935,040
  5. Step 5: Solve for x
    x = 242,380,049,750,935,040/314,524,530
  6. Step 6: Final answer
    x = 770,623,676.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.