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Finding the Third Proportional to 286,715 and 443,208

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Solution

The third proportional to 286,715 and 443,208 is: 685,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715 : 443,208 = 443,208 : x
  2. Step 2: Convert to fraction form
    286,715/443,208 = 443,208/x
  3. Step 3: Cross multiply
    286,715x = 443,208 × 443,208
  4. Step 4: Simplify right side
    286,715x = 196,433,331,264
  5. Step 5: Solve for x
    x = 196,433,331,264/286,715
  6. Step 6: Final answer
    x = 685,117.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.