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Finding the Third Proportional to 214,824 and 460,752

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Solution

The third proportional to 214,824 and 460,752 is: 988,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,824 : 460,752 = 460,752 : x
  2. Step 2: Convert to fraction form
    214,824/460,752 = 460,752/x
  3. Step 3: Cross multiply
    214,824x = 460,752 × 460,752
  4. Step 4: Simplify right side
    214,824x = 212,292,405,504
  5. Step 5: Solve for x
    x = 212,292,405,504/214,824
  6. Step 6: Final answer
    x = 988,215.50

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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.