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Finding the Third Proportional to 212,250 and 462,408

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Solution

The third proportional to 212,250 and 462,408 is: 1,007,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,250 : 462,408 = 462,408 : x
  2. Step 2: Convert to fraction form
    212,250/462,408 = 462,408/x
  3. Step 3: Cross multiply
    212,250x = 462,408 × 462,408
  4. Step 4: Simplify right side
    212,250x = 213,821,158,464
  5. Step 5: Solve for x
    x = 213,821,158,464/212,250
  6. Step 6: Final answer
    x = 1,007,402.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.