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Finding the Third Proportional to 450,027 and 633,019

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Solution

The third proportional to 450,027 and 633,019 is: 890,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,027 : 633,019 = 633,019 : x
  2. Step 2: Convert to fraction form
    450,027/633,019 = 633,019/x
  3. Step 3: Cross multiply
    450,027x = 633,019 × 633,019
  4. Step 4: Simplify right side
    450,027x = 400,713,054,361
  5. Step 5: Solve for x
    x = 400,713,054,361/450,027
  6. Step 6: Final answer
    x = 890,420.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.