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Finding the Third Proportional to 311,927 and 495,886

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Solution

The third proportional to 311,927 and 495,886 is: 788,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,927 : 495,886 = 495,886 : x
  2. Step 2: Convert to fraction form
    311,927/495,886 = 495,886/x
  3. Step 3: Cross multiply
    311,927x = 495,886 × 495,886
  4. Step 4: Simplify right side
    311,927x = 245,902,924,996
  5. Step 5: Solve for x
    x = 245,902,924,996/311,927
  6. Step 6: Final answer
    x = 788,334.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.