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Finding the Third Proportional to 201,814 and 456,055

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Solution

The third proportional to 201,814 and 456,055 is: 1,030,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814 : 456,055 = 456,055 : x
  2. Step 2: Convert to fraction form
    201,814/456,055 = 456,055/x
  3. Step 3: Cross multiply
    201,814x = 456,055 × 456,055
  4. Step 4: Simplify right side
    201,814x = 207,986,163,025
  5. Step 5: Solve for x
    x = 207,986,163,025/201,814
  6. Step 6: Final answer
    x = 1,030,583.42

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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.