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Finding the Third Proportional to 237,703 and 522,056

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Solution

The third proportional to 237,703 and 522,056 is: 1,146,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,703 : 522,056 = 522,056 : x
  2. Step 2: Convert to fraction form
    237,703/522,056 = 522,056/x
  3. Step 3: Cross multiply
    237,703x = 522,056 × 522,056
  4. Step 4: Simplify right side
    237,703x = 272,542,467,136
  5. Step 5: Solve for x
    x = 272,542,467,136/237,703
  6. Step 6: Final answer
    x = 1,146,567.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.