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Finding the Third Proportional to 367,054 and 829,880

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Solution

The third proportional to 367,054 and 829,880 is: 1,876,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,054 : 829,880 = 829,880 : x
  2. Step 2: Convert to fraction form
    367,054/829,880 = 829,880/x
  3. Step 3: Cross multiply
    367,054x = 829,880 × 829,880
  4. Step 4: Simplify right side
    367,054x = 688,700,814,400
  5. Step 5: Solve for x
    x = 688,700,814,400/367,054
  6. Step 6: Final answer
    x = 1,876,292.90

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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.