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Finding the Third Proportional to 385,998 and 850,525.50

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Solution

The third proportional to 385,998 and 850,525.50 is: 1,874,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,998 : 850,525.50 = 850,525.50 : x
  2. Step 2: Convert to fraction form
    385,998/850,525.50 = 850,525.50/x
  3. Step 3: Cross multiply
    385,998x = 850,525.50 × 850,525.50
  4. Step 4: Simplify right side
    385,998x = 723,393,626,150.25
  5. Step 5: Solve for x
    x = 723,393,626,150.25/385,998
  6. Step 6: Final answer
    x = 1,874,086.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.