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Finding the Third Proportional to 218,411 and 467,184

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Solution

The third proportional to 218,411 and 467,184 is: 999,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411 : 467,184 = 467,184 : x
  2. Step 2: Convert to fraction form
    218,411/467,184 = 467,184/x
  3. Step 3: Cross multiply
    218,411x = 467,184 × 467,184
  4. Step 4: Simplify right side
    218,411x = 218,260,889,856
  5. Step 5: Solve for x
    x = 218,260,889,856/218,411
  6. Step 6: Final answer
    x = 999,312.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.