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Finding the Third Proportional to 475,531.88 and 967,671

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Solution

The third proportional to 475,531.88 and 967,671 is: 1,969,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,531.88 : 967,671 = 967,671 : x
  2. Step 2: Convert to fraction form
    475,531.88/967,671 = 967,671/x
  3. Step 3: Cross multiply
    475,531.88x = 967,671 × 967,671
  4. Step 4: Simplify right side
    475,531.88x = 936,387,164,241
  5. Step 5: Solve for x
    x = 936,387,164,241/475,531.88
  6. Step 6: Final answer
    x = 1,969,136.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.