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Finding the Third Proportional to 246,118 and 579,486

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Solution

The third proportional to 246,118 and 579,486 is: 1,364,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,118 : 579,486 = 579,486 : x
  2. Step 2: Convert to fraction form
    246,118/579,486 = 579,486/x
  3. Step 3: Cross multiply
    246,118x = 579,486 × 579,486
  4. Step 4: Simplify right side
    246,118x = 335,804,024,196
  5. Step 5: Solve for x
    x = 335,804,024,196/246,118
  6. Step 6: Final answer
    x = 1,364,402.54

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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.