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Finding the Third Proportional to 664,989.75 and 973,905.75

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Solution

The third proportional to 664,989.75 and 973,905.75 is: 1,426,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,989.75 : 973,905.75 = 973,905.75 : x
  2. Step 2: Convert to fraction form
    664,989.75/973,905.75 = 973,905.75/x
  3. Step 3: Cross multiply
    664,989.75x = 973,905.75 × 973,905.75
  4. Step 4: Simplify right side
    664,989.75x = 948,492,409,883.06
  5. Step 5: Solve for x
    x = 948,492,409,883.06/664,989.75
  6. Step 6: Final answer
    x = 1,426,326.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.