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Finding the Third Proportional to 190,710 and 419,506

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Solution

The third proportional to 190,710 and 419,506 is: 922,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,710 : 419,506 = 419,506 : x
  2. Step 2: Convert to fraction form
    190,710/419,506 = 419,506/x
  3. Step 3: Cross multiply
    190,710x = 419,506 × 419,506
  4. Step 4: Simplify right side
    190,710x = 175,985,284,036
  5. Step 5: Solve for x
    x = 175,985,284,036/190,710
  6. Step 6: Final answer
    x = 922,790.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.