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Finding the Third Proportional to 296,916 and 700,203

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Solution

The third proportional to 296,916 and 700,203 is: 1,651,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,916 : 700,203 = 700,203 : x
  2. Step 2: Convert to fraction form
    296,916/700,203 = 700,203/x
  3. Step 3: Cross multiply
    296,916x = 700,203 × 700,203
  4. Step 4: Simplify right side
    296,916x = 490,284,241,209
  5. Step 5: Solve for x
    x = 490,284,241,209/296,916
  6. Step 6: Final answer
    x = 1,651,255.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.