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Finding the Third Proportional to 334,274 and 503,008

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Solution

The third proportional to 334,274 and 503,008 is: 756,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,274 : 503,008 = 503,008 : x
  2. Step 2: Convert to fraction form
    334,274/503,008 = 503,008/x
  3. Step 3: Cross multiply
    334,274x = 503,008 × 503,008
  4. Step 4: Simplify right side
    334,274x = 253,017,048,064
  5. Step 5: Solve for x
    x = 253,017,048,064/334,274
  6. Step 6: Final answer
    x = 756,915.13

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