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Finding the Third Proportional to 237,463 and 512,813.75

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Solution

The third proportional to 237,463 and 512,813.75 is: 1,107,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,463 : 512,813.75 = 512,813.75 : x
  2. Step 2: Convert to fraction form
    237,463/512,813.75 = 512,813.75/x
  3. Step 3: Cross multiply
    237,463x = 512,813.75 × 512,813.75
  4. Step 4: Simplify right side
    237,463x = 262,977,942,189.06
  5. Step 5: Solve for x
    x = 262,977,942,189.06/237,463
  6. Step 6: Final answer
    x = 1,107,448.07

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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.