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Finding the Third Proportional to 334,848 and 477,272

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Solution

The third proportional to 334,848 and 477,272 is: 680,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,848 : 477,272 = 477,272 : x
  2. Step 2: Convert to fraction form
    334,848/477,272 = 477,272/x
  3. Step 3: Cross multiply
    334,848x = 477,272 × 477,272
  4. Step 4: Simplify right side
    334,848x = 227,788,561,984
  5. Step 5: Solve for x
    x = 227,788,561,984/334,848
  6. Step 6: Final answer
    x = 680,274.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.