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Finding the Third Proportional to 240,751 and 512,605

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Solution

The third proportional to 240,751 and 512,605 is: 1,091,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,751 : 512,605 = 512,605 : x
  2. Step 2: Convert to fraction form
    240,751/512,605 = 512,605/x
  3. Step 3: Cross multiply
    240,751x = 512,605 × 512,605
  4. Step 4: Simplify right side
    240,751x = 262,763,886,025
  5. Step 5: Solve for x
    x = 262,763,886,025/240,751
  6. Step 6: Final answer
    x = 1,091,434.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.