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Finding the Third Proportional to 237,375,477 and 500,256,234

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Solution

The third proportional to 237,375,477 and 500,256,234 is: 1,054,263,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,375,477 : 500,256,234 = 500,256,234 : x
  2. Step 2: Convert to fraction form
    237,375,477/500,256,234 = 500,256,234/x
  3. Step 3: Cross multiply
    237,375,477x = 500,256,234 × 500,256,234
  4. Step 4: Simplify right side
    237,375,477x = 250,256,299,655,862,752
  5. Step 5: Solve for x
    x = 250,256,299,655,862,752/237,375,477
  6. Step 6: Final answer
    x = 1,054,263,493.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.