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Finding the Third Proportional to 344,464 and 503,086

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Solution

The third proportional to 344,464 and 503,086 is: 734,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,464 : 503,086 = 503,086 : x
  2. Step 2: Convert to fraction form
    344,464/503,086 = 503,086/x
  3. Step 3: Cross multiply
    344,464x = 503,086 × 503,086
  4. Step 4: Simplify right side
    344,464x = 253,095,523,396
  5. Step 5: Solve for x
    x = 253,095,523,396/344,464
  6. Step 6: Final answer
    x = 734,751.74

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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.