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Finding the Third Proportional to 237,558 and 512,256

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Solution

The third proportional to 237,558 and 512,256 is: 1,104,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,558 : 512,256 = 512,256 : x
  2. Step 2: Convert to fraction form
    237,558/512,256 = 512,256/x
  3. Step 3: Cross multiply
    237,558x = 512,256 × 512,256
  4. Step 4: Simplify right side
    237,558x = 262,406,209,536
  5. Step 5: Solve for x
    x = 262,406,209,536/237,558
  6. Step 6: Final answer
    x = 1,104,598.50

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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.