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Finding the Third Proportional to 237,570 and 512,273

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Solution

The third proportional to 237,570 and 512,273 is: 1,104,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,570 : 512,273 = 512,273 : x
  2. Step 2: Convert to fraction form
    237,570/512,273 = 512,273/x
  3. Step 3: Cross multiply
    237,570x = 512,273 × 512,273
  4. Step 4: Simplify right side
    237,570x = 262,423,626,529
  5. Step 5: Solve for x
    x = 262,423,626,529/237,570
  6. Step 6: Final answer
    x = 1,104,616.01

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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.