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Finding the Third Proportional to 246,120 and 579,492

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Solution

The third proportional to 246,120 and 579,492 is: 1,364,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,120 : 579,492 = 579,492 : x
  2. Step 2: Convert to fraction form
    246,120/579,492 = 579,492/x
  3. Step 3: Cross multiply
    246,120x = 579,492 × 579,492
  4. Step 4: Simplify right side
    246,120x = 335,810,978,064
  5. Step 5: Solve for x
    x = 335,810,978,064/246,120
  6. Step 6: Final answer
    x = 1,364,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.