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Finding the Third Proportional to 305,532 and 671,247

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Solution

The third proportional to 305,532 and 671,247 is: 1,474,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,532 : 671,247 = 671,247 : x
  2. Step 2: Convert to fraction form
    305,532/671,247 = 671,247/x
  3. Step 3: Cross multiply
    305,532x = 671,247 × 671,247
  4. Step 4: Simplify right side
    305,532x = 450,572,535,009
  5. Step 5: Solve for x
    x = 450,572,535,009/305,532
  6. Step 6: Final answer
    x = 1,474,714.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.