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Finding the Third Proportional to 246,164 and 579,564

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Solution

The third proportional to 246,164 and 579,564 is: 1,364,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,164 : 579,564 = 579,564 : x
  2. Step 2: Convert to fraction form
    246,164/579,564 = 579,564/x
  3. Step 3: Cross multiply
    246,164x = 579,564 × 579,564
  4. Step 4: Simplify right side
    246,164x = 335,894,430,096
  5. Step 5: Solve for x
    x = 335,894,430,096/246,164
  6. Step 6: Final answer
    x = 1,364,514.84

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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.