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Finding the Third Proportional to 236,452 and 514,376

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Solution

The third proportional to 236,452 and 514,376 is: 1,118,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,452 : 514,376 = 514,376 : x
  2. Step 2: Convert to fraction form
    236,452/514,376 = 514,376/x
  3. Step 3: Cross multiply
    236,452x = 514,376 × 514,376
  4. Step 4: Simplify right side
    236,452x = 264,582,669,376
  5. Step 5: Solve for x
    x = 264,582,669,376/236,452
  6. Step 6: Final answer
    x = 1,118,969.89

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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.