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Finding the Third Proportional to 450,034 and 606,201

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Solution

The third proportional to 450,034 and 606,201 is: 816,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,034 : 606,201 = 606,201 : x
  2. Step 2: Convert to fraction form
    450,034/606,201 = 606,201/x
  3. Step 3: Cross multiply
    450,034x = 606,201 × 606,201
  4. Step 4: Simplify right side
    450,034x = 367,479,652,401
  5. Step 5: Solve for x
    x = 367,479,652,401/450,034
  6. Step 6: Final answer
    x = 816,559.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.