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Finding the Third Proportional to 234,724 and 512,460

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Solution

The third proportional to 234,724 and 512,460 is: 1,118,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,724 : 512,460 = 512,460 : x
  2. Step 2: Convert to fraction form
    234,724/512,460 = 512,460/x
  3. Step 3: Cross multiply
    234,724x = 512,460 × 512,460
  4. Step 4: Simplify right side
    234,724x = 262,615,251,600
  5. Step 5: Solve for x
    x = 262,615,251,600/234,724
  6. Step 6: Final answer
    x = 1,118,825.73

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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.