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Finding the Third Proportional to 344,464 and 503,085

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Solution

The third proportional to 344,464 and 503,085 is: 734,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,464 : 503,085 = 503,085 : x
  2. Step 2: Convert to fraction form
    344,464/503,085 = 503,085/x
  3. Step 3: Cross multiply
    344,464x = 503,085 × 503,085
  4. Step 4: Simplify right side
    344,464x = 253,094,517,225
  5. Step 5: Solve for x
    x = 253,094,517,225/344,464
  6. Step 6: Final answer
    x = 734,748.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.