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Finding the Third Proportional to 407,510,367.19 and 635,479,346.53

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Solution

The third proportional to 407,510,367.19 and 635,479,346.53 is: 990,978,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,367.19 : 635,479,346.53 = 635,479,346.53 : x
  2. Step 2: Convert to fraction form
    407,510,367.19/635,479,346.53 = 635,479,346.53/x
  3. Step 3: Cross multiply
    407,510,367.19x = 635,479,346.53 × 635,479,346.53
  4. Step 4: Simplify right side
    407,510,367.19x = 403,833,999,867,784,512
  5. Step 5: Solve for x
    x = 403,833,999,867,784,512/407,510,367.19
  6. Step 6: Final answer
    x = 990,978,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.