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Finding the Third Proportional to 507,257 and 759,279

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Solution

The third proportional to 507,257 and 759,279 is: 1,136,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,257 : 759,279 = 759,279 : x
  2. Step 2: Convert to fraction form
    507,257/759,279 = 759,279/x
  3. Step 3: Cross multiply
    507,257x = 759,279 × 759,279
  4. Step 4: Simplify right side
    507,257x = 576,504,599,841
  5. Step 5: Solve for x
    x = 576,504,599,841/507,257
  6. Step 6: Final answer
    x = 1,136,513.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.