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Finding the Third Proportional to 236,700 and 514,872

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Solution

The third proportional to 236,700 and 514,872 is: 1,119,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,700 : 514,872 = 514,872 : x
  2. Step 2: Convert to fraction form
    236,700/514,872 = 514,872/x
  3. Step 3: Cross multiply
    236,700x = 514,872 × 514,872
  4. Step 4: Simplify right side
    236,700x = 265,093,176,384
  5. Step 5: Solve for x
    x = 265,093,176,384/236,700
  6. Step 6: Final answer
    x = 1,119,954.27

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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.