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Finding the Third Proportional to 351,644 and 775,000

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Solution

The third proportional to 351,644 and 775,000 is: 1,708,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,644 : 775,000 = 775,000 : x
  2. Step 2: Convert to fraction form
    351,644/775,000 = 775,000/x
  3. Step 3: Cross multiply
    351,644x = 775,000 × 775,000
  4. Step 4: Simplify right side
    351,644x = 600,625,000,000
  5. Step 5: Solve for x
    x = 600,625,000,000/351,644
  6. Step 6: Final answer
    x = 1,708,048.48

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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.