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Finding the Third Proportional to 212,371 and 456,223

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Solution

The third proportional to 212,371 and 456,223 is: 980,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,371 : 456,223 = 456,223 : x
  2. Step 2: Convert to fraction form
    212,371/456,223 = 456,223/x
  3. Step 3: Cross multiply
    212,371x = 456,223 × 456,223
  4. Step 4: Simplify right side
    212,371x = 208,139,425,729
  5. Step 5: Solve for x
    x = 208,139,425,729/212,371
  6. Step 6: Final answer
    x = 980,074.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.