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Finding the Third Proportional to 236,680 and 514,832

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Solution

The third proportional to 236,680 and 514,832 is: 1,119,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,680 : 514,832 = 514,832 : x
  2. Step 2: Convert to fraction form
    236,680/514,832 = 514,832/x
  3. Step 3: Cross multiply
    236,680x = 514,832 × 514,832
  4. Step 4: Simplify right side
    236,680x = 265,051,988,224
  5. Step 5: Solve for x
    x = 265,051,988,224/236,680
  6. Step 6: Final answer
    x = 1,119,874.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.