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Finding the Third Proportional to 301,912,644 and 658,480,064

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Solution

The third proportional to 301,912,644 and 658,480,064 is: 1,436,163,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912,644 : 658,480,064 = 658,480,064 : x
  2. Step 2: Convert to fraction form
    301,912,644/658,480,064 = 658,480,064/x
  3. Step 3: Cross multiply
    301,912,644x = 658,480,064 × 658,480,064
  4. Step 4: Simplify right side
    301,912,644x = 433,595,994,685,444,096
  5. Step 5: Solve for x
    x = 433,595,994,685,444,096/301,912,644
  6. Step 6: Final answer
    x = 1,436,163,749.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.