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Finding the Third Proportional to 242,932 and 512,270

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Solution

The third proportional to 242,932 and 512,270 is: 1,080,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,932 : 512,270 = 512,270 : x
  2. Step 2: Convert to fraction form
    242,932/512,270 = 512,270/x
  3. Step 3: Cross multiply
    242,932x = 512,270 × 512,270
  4. Step 4: Simplify right side
    242,932x = 262,420,552,900
  5. Step 5: Solve for x
    x = 262,420,552,900/242,932
  6. Step 6: Final answer
    x = 1,080,222.26

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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.