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Finding the Third Proportional to 190,369 and 450,994.50

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Solution

The third proportional to 190,369 and 450,994.50 is: 1,068,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,369 : 450,994.50 = 450,994.50 : x
  2. Step 2: Convert to fraction form
    190,369/450,994.50 = 450,994.50/x
  3. Step 3: Cross multiply
    190,369x = 450,994.50 × 450,994.50
  4. Step 4: Simplify right side
    190,369x = 203,396,039,030.25
  5. Step 5: Solve for x
    x = 203,396,039,030.25/190,369
  6. Step 6: Final answer
    x = 1,068,430.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.