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Finding the Third Proportional to 236,271 and 514,014

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Solution

The third proportional to 236,271 and 514,014 is: 1,118,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,271 : 514,014 = 514,014 : x
  2. Step 2: Convert to fraction form
    236,271/514,014 = 514,014/x
  3. Step 3: Cross multiply
    236,271x = 514,014 × 514,014
  4. Step 4: Simplify right side
    236,271x = 264,210,392,196
  5. Step 5: Solve for x
    x = 264,210,392,196/236,271
  6. Step 6: Final answer
    x = 1,118,251.47

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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.