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Finding the Third Proportional to 313,592 and 471,094

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Solution

The third proportional to 313,592 and 471,094 is: 707,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,592 : 471,094 = 471,094 : x
  2. Step 2: Convert to fraction form
    313,592/471,094 = 471,094/x
  3. Step 3: Cross multiply
    313,592x = 471,094 × 471,094
  4. Step 4: Simplify right side
    313,592x = 221,929,556,836
  5. Step 5: Solve for x
    x = 221,929,556,836/313,592
  6. Step 6: Final answer
    x = 707,701.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.