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Finding the Third Proportional to 201,823 and 456,073

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Solution

The third proportional to 201,823 and 456,073 is: 1,030,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823 : 456,073 = 456,073 : x
  2. Step 2: Convert to fraction form
    201,823/456,073 = 456,073/x
  3. Step 3: Cross multiply
    201,823x = 456,073 × 456,073
  4. Step 4: Simplify right side
    201,823x = 208,002,581,329
  5. Step 5: Solve for x
    x = 208,002,581,329/201,823
  6. Step 6: Final answer
    x = 1,030,618.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.