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Finding the Third Proportional to 237,467 and 512,822

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Solution

The third proportional to 237,467 and 512,822 is: 1,107,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,467 : 512,822 = 512,822 : x
  2. Step 2: Convert to fraction form
    237,467/512,822 = 512,822/x
  3. Step 3: Cross multiply
    237,467x = 512,822 × 512,822
  4. Step 4: Simplify right side
    237,467x = 262,986,403,684
  5. Step 5: Solve for x
    x = 262,986,403,684/237,467
  6. Step 6: Final answer
    x = 1,107,465.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.