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Finding the Third Proportional to 234,288 and 510,984

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Solution

The third proportional to 234,288 and 510,984 is: 1,114,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,288 : 510,984 = 510,984 : x
  2. Step 2: Convert to fraction form
    234,288/510,984 = 510,984/x
  3. Step 3: Cross multiply
    234,288x = 510,984 × 510,984
  4. Step 4: Simplify right side
    234,288x = 261,104,648,256
  5. Step 5: Solve for x
    x = 261,104,648,256/234,288
  6. Step 6: Final answer
    x = 1,114,460.19

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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.