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Finding the Third Proportional to 395,947 and 637,500

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Solution

The third proportional to 395,947 and 637,500 is: 1,026,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,947 : 637,500 = 637,500 : x
  2. Step 2: Convert to fraction form
    395,947/637,500 = 637,500/x
  3. Step 3: Cross multiply
    395,947x = 637,500 × 637,500
  4. Step 4: Simplify right side
    395,947x = 406,406,250,000
  5. Step 5: Solve for x
    x = 406,406,250,000/395,947
  6. Step 6: Final answer
    x = 1,026,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.