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Finding the Third Proportional to 334,200.94 and 504,308.53

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Solution

The third proportional to 334,200.94 and 504,308.53 is: 761,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.94 : 504,308.53 = 504,308.53 : x
  2. Step 2: Convert to fraction form
    334,200.94/504,308.53 = 504,308.53/x
  3. Step 3: Cross multiply
    334,200.94x = 504,308.53 × 504,308.53
  4. Step 4: Simplify right side
    334,200.94x = 254,327,094,691.53
  5. Step 5: Solve for x
    x = 254,327,094,691.53/334,200.94
  6. Step 6: Final answer
    x = 761,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.