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Finding the Third Proportional to 297,733.50 and 702,267.75

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Solution

The third proportional to 297,733.50 and 702,267.75 is: 1,656,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,733.50 : 702,267.75 = 702,267.75 : x
  2. Step 2: Convert to fraction form
    297,733.50/702,267.75 = 702,267.75/x
  3. Step 3: Cross multiply
    297,733.50x = 702,267.75 × 702,267.75
  4. Step 4: Simplify right side
    297,733.50x = 493,179,992,690.06
  5. Step 5: Solve for x
    x = 493,179,992,690.06/297,733.50
  6. Step 6: Final answer
    x = 1,656,447.77

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