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Finding the Third Proportional to 468,076.50 and 958,335.75

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Solution

The third proportional to 468,076.50 and 958,335.75 is: 1,962,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,076.50 : 958,335.75 = 958,335.75 : x
  2. Step 2: Convert to fraction form
    468,076.50/958,335.75 = 958,335.75/x
  3. Step 3: Cross multiply
    468,076.50x = 958,335.75 × 958,335.75
  4. Step 4: Simplify right side
    468,076.50x = 918,407,409,728.06
  5. Step 5: Solve for x
    x = 918,407,409,728.06/468,076.50
  6. Step 6: Final answer
    x = 1,962,088.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.