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Finding the Third Proportional to 218,696 and 478,240

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Solution

The third proportional to 218,696 and 478,240 is: 1,045,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,696 : 478,240 = 478,240 : x
  2. Step 2: Convert to fraction form
    218,696/478,240 = 478,240/x
  3. Step 3: Cross multiply
    218,696x = 478,240 × 478,240
  4. Step 4: Simplify right side
    218,696x = 228,713,497,600
  5. Step 5: Solve for x
    x = 228,713,497,600/218,696
  6. Step 6: Final answer
    x = 1,045,805.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.