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Finding the Third Proportional to 237,562 and 512,264

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Solution

The third proportional to 237,562 and 512,264 is: 1,104,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,562 : 512,264 = 512,264 : x
  2. Step 2: Convert to fraction form
    237,562/512,264 = 512,264/x
  3. Step 3: Cross multiply
    237,562x = 512,264 × 512,264
  4. Step 4: Simplify right side
    237,562x = 262,414,405,696
  5. Step 5: Solve for x
    x = 262,414,405,696/237,562
  6. Step 6: Final answer
    x = 1,104,614.40

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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.