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Finding the Third Proportional to 380,583,444 and 605,589,364.50

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Solution

The third proportional to 380,583,444 and 605,589,364.50 is: 963,621,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,583,444 : 605,589,364.50 = 605,589,364.50 : x
  2. Step 2: Convert to fraction form
    380,583,444/605,589,364.50 = 605,589,364.50/x
  3. Step 3: Cross multiply
    380,583,444x = 605,589,364.50 × 605,589,364.50
  4. Step 4: Simplify right side
    380,583,444x = 366,738,478,395,513,856
  5. Step 5: Solve for x
    x = 366,738,478,395,513,856/380,583,444
  6. Step 6: Final answer
    x = 963,621,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.