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Finding the Third Proportional to 367,062 and 829,900

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Solution

The third proportional to 367,062 and 829,900 is: 1,876,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,062 : 829,900 = 829,900 : x
  2. Step 2: Convert to fraction form
    367,062/829,900 = 829,900/x
  3. Step 3: Cross multiply
    367,062x = 829,900 × 829,900
  4. Step 4: Simplify right side
    367,062x = 688,734,010,000
  5. Step 5: Solve for x
    x = 688,734,010,000/367,062
  6. Step 6: Final answer
    x = 1,876,342.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.