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Finding the Third Proportional to 331,014,846 and 714,687,000

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Solution

The third proportional to 331,014,846 and 714,687,000 is: 1,543,065,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,014,846 : 714,687,000 = 714,687,000 : x
  2. Step 2: Convert to fraction form
    331,014,846/714,687,000 = 714,687,000/x
  3. Step 3: Cross multiply
    331,014,846x = 714,687,000 × 714,687,000
  4. Step 4: Simplify right side
    331,014,846x = 510,777,507,969,000,000
  5. Step 5: Solve for x
    x = 510,777,507,969,000,000/331,014,846
  6. Step 6: Final answer
    x = 1,543,065,255.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.