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Finding the Third Proportional to 214,575 and 466,023

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Solution

The third proportional to 214,575 and 466,023 is: 1,012,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575 : 466,023 = 466,023 : x
  2. Step 2: Convert to fraction form
    214,575/466,023 = 466,023/x
  3. Step 3: Cross multiply
    214,575x = 466,023 × 466,023
  4. Step 4: Simplify right side
    214,575x = 217,177,436,529
  5. Step 5: Solve for x
    x = 217,177,436,529/214,575
  6. Step 6: Final answer
    x = 1,012,128.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.