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Finding the Third Proportional to 317,181 and 463,864.50

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Solution

The third proportional to 317,181 and 463,864.50 is: 678,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,181 : 463,864.50 = 463,864.50 : x
  2. Step 2: Convert to fraction form
    317,181/463,864.50 = 463,864.50/x
  3. Step 3: Cross multiply
    317,181x = 463,864.50 × 463,864.50
  4. Step 4: Simplify right side
    317,181x = 215,170,274,360.25
  5. Step 5: Solve for x
    x = 215,170,274,360.25/317,181
  6. Step 6: Final answer
    x = 678,383.24

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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.