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Finding the Third Proportional to 277,564 and 415,232

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Solution

The third proportional to 277,564 and 415,232 is: 621,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,564 : 415,232 = 415,232 : x
  2. Step 2: Convert to fraction form
    277,564/415,232 = 415,232/x
  3. Step 3: Cross multiply
    277,564x = 415,232 × 415,232
  4. Step 4: Simplify right side
    277,564x = 172,417,613,824
  5. Step 5: Solve for x
    x = 172,417,613,824/277,564
  6. Step 6: Final answer
    x = 621,181.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.