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Finding the Third Proportional to 190,779 and 414,361.50

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Solution

The third proportional to 190,779 and 414,361.50 is: 899,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,779 : 414,361.50 = 414,361.50 : x
  2. Step 2: Convert to fraction form
    190,779/414,361.50 = 414,361.50/x
  3. Step 3: Cross multiply
    190,779x = 414,361.50 × 414,361.50
  4. Step 4: Simplify right side
    190,779x = 171,695,452,682.25
  5. Step 5: Solve for x
    x = 171,695,452,682.25/190,779
  6. Step 6: Final answer
    x = 899,970.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.