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Finding the Third Proportional to 311,943 and 495,912

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Solution

The third proportional to 311,943 and 495,912 is: 788,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 495,912 = 495,912 : x
  2. Step 2: Convert to fraction form
    311,943/495,912 = 495,912/x
  3. Step 3: Cross multiply
    311,943x = 495,912 × 495,912
  4. Step 4: Simplify right side
    311,943x = 245,928,711,744
  5. Step 5: Solve for x
    x = 245,928,711,744/311,943
  6. Step 6: Final answer
    x = 788,377.08

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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.