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Finding the Third Proportional to 267,202 and 414,303

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Solution

The third proportional to 267,202 and 414,303 is: 642,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,202 : 414,303 = 414,303 : x
  2. Step 2: Convert to fraction form
    267,202/414,303 = 414,303/x
  3. Step 3: Cross multiply
    267,202x = 414,303 × 414,303
  4. Step 4: Simplify right side
    267,202x = 171,646,975,809
  5. Step 5: Solve for x
    x = 171,646,975,809/267,202
  6. Step 6: Final answer
    x = 642,386.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.