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Finding the Third Proportional to 319,068 and 404,850

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Solution

The third proportional to 319,068 and 404,850 is: 513,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,068 : 404,850 = 404,850 : x
  2. Step 2: Convert to fraction form
    319,068/404,850 = 404,850/x
  3. Step 3: Cross multiply
    319,068x = 404,850 × 404,850
  4. Step 4: Simplify right side
    319,068x = 163,903,522,500
  5. Step 5: Solve for x
    x = 163,903,522,500/319,068
  6. Step 6: Final answer
    x = 513,694.64

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.