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Finding the Third Proportional to 296,814 and 699,951

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Solution

The third proportional to 296,814 and 699,951 is: 1,650,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,814 : 699,951 = 699,951 : x
  2. Step 2: Convert to fraction form
    296,814/699,951 = 699,951/x
  3. Step 3: Cross multiply
    296,814x = 699,951 × 699,951
  4. Step 4: Simplify right side
    296,814x = 489,931,402,401
  5. Step 5: Solve for x
    x = 489,931,402,401/296,814
  6. Step 6: Final answer
    x = 1,650,634.41

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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.