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Finding the Third Proportional to 214,948 and 468,752

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Solution

The third proportional to 214,948 and 468,752 is: 1,022,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,948 : 468,752 = 468,752 : x
  2. Step 2: Convert to fraction form
    214,948/468,752 = 468,752/x
  3. Step 3: Cross multiply
    214,948x = 468,752 × 468,752
  4. Step 4: Simplify right side
    214,948x = 219,728,437,504
  5. Step 5: Solve for x
    x = 219,728,437,504/214,948
  6. Step 6: Final answer
    x = 1,022,239.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.