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Finding the Third Proportional to 214,630 and 466,168

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Solution

The third proportional to 214,630 and 466,168 is: 1,012,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,630 : 466,168 = 466,168 : x
  2. Step 2: Convert to fraction form
    214,630/466,168 = 466,168/x
  3. Step 3: Cross multiply
    214,630x = 466,168 × 466,168
  4. Step 4: Simplify right side
    214,630x = 217,312,604,224
  5. Step 5: Solve for x
    x = 217,312,604,224/214,630
  6. Step 6: Final answer
    x = 1,012,498.74

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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.