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Finding the Third Proportional to 201,628 and 434,754

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Solution

The third proportional to 201,628 and 434,754 is: 937,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628 : 434,754 = 434,754 : x
  2. Step 2: Convert to fraction form
    201,628/434,754 = 434,754/x
  3. Step 3: Cross multiply
    201,628x = 434,754 × 434,754
  4. Step 4: Simplify right side
    201,628x = 189,011,040,516
  5. Step 5: Solve for x
    x = 189,011,040,516/201,628
  6. Step 6: Final answer
    x = 937,424.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.