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Finding the Third Proportional to 296,773.88 and 699,863.63

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Solution

The third proportional to 296,773.88 and 699,863.63 is: 1,650,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,773.88 : 699,863.63 = 699,863.63 : x
  2. Step 2: Convert to fraction form
    296,773.88/699,863.63 = 699,863.63/x
  3. Step 3: Cross multiply
    296,773.88x = 699,863.63 × 699,863.63
  4. Step 4: Simplify right side
    296,773.88x = 489,809,093,598.14
  5. Step 5: Solve for x
    x = 489,809,093,598.14/296,773.88
  6. Step 6: Final answer
    x = 1,650,445.46

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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.