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Finding the Third Proportional to 189,439 and 414,554

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Solution

The third proportional to 189,439 and 414,554 is: 907,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,439 : 414,554 = 414,554 : x
  2. Step 2: Convert to fraction form
    189,439/414,554 = 414,554/x
  3. Step 3: Cross multiply
    189,439x = 414,554 × 414,554
  4. Step 4: Simplify right side
    189,439x = 171,855,018,916
  5. Step 5: Solve for x
    x = 171,855,018,916/189,439
  6. Step 6: Final answer
    x = 907,178.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.