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Finding the Third Proportional to 237,715 and 522,085

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Solution

The third proportional to 237,715 and 522,085 is: 1,146,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,715 : 522,085 = 522,085 : x
  2. Step 2: Convert to fraction form
    237,715/522,085 = 522,085/x
  3. Step 3: Cross multiply
    237,715x = 522,085 × 522,085
  4. Step 4: Simplify right side
    237,715x = 272,572,747,225
  5. Step 5: Solve for x
    x = 272,572,747,225/237,715
  6. Step 6: Final answer
    x = 1,146,636.72

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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.