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Finding the Third Proportional to 264,647 and 409,890

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Solution

The third proportional to 264,647 and 409,890 is: 634,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,647 : 409,890 = 409,890 : x
  2. Step 2: Convert to fraction form
    264,647/409,890 = 409,890/x
  3. Step 3: Cross multiply
    264,647x = 409,890 × 409,890
  4. Step 4: Simplify right side
    264,647x = 168,009,812,100
  5. Step 5: Solve for x
    x = 168,009,812,100/264,647
  6. Step 6: Final answer
    x = 634,844.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.