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Finding the Third Proportional to 296,679 and 460,233

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Solution

The third proportional to 296,679 and 460,233 is: 713,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,679 : 460,233 = 460,233 : x
  2. Step 2: Convert to fraction form
    296,679/460,233 = 460,233/x
  3. Step 3: Cross multiply
    296,679x = 460,233 × 460,233
  4. Step 4: Simplify right side
    296,679x = 211,814,414,289
  5. Step 5: Solve for x
    x = 211,814,414,289/296,679
  6. Step 6: Final answer
    x = 713,951.49

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Why These Related Problems?

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