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Finding the Third Proportional to 289,000 and 460,255

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Solution

The third proportional to 289,000 and 460,255 is: 732,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000 : 460,255 = 460,255 : x
  2. Step 2: Convert to fraction form
    289,000/460,255 = 460,255/x
  3. Step 3: Cross multiply
    289,000x = 460,255 × 460,255
  4. Step 4: Simplify right side
    289,000x = 211,834,665,025
  5. Step 5: Solve for x
    x = 211,834,665,025/289,000
  6. Step 6: Final answer
    x = 732,991.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.