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Finding the Third Proportional to 214,623 and 466,148

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Solution

The third proportional to 214,623 and 466,148 is: 1,012,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,623 : 466,148 = 466,148 : x
  2. Step 2: Convert to fraction form
    214,623/466,148 = 466,148/x
  3. Step 3: Cross multiply
    214,623x = 466,148 × 466,148
  4. Step 4: Simplify right side
    214,623x = 217,293,957,904
  5. Step 5: Solve for x
    x = 217,293,957,904/214,623
  6. Step 6: Final answer
    x = 1,012,444.88

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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.