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Finding the Third Proportional to 246,802 and 360,853

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Solution

The third proportional to 246,802 and 360,853 is: 527,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,802 : 360,853 = 360,853 : x
  2. Step 2: Convert to fraction form
    246,802/360,853 = 360,853/x
  3. Step 3: Cross multiply
    246,802x = 360,853 × 360,853
  4. Step 4: Simplify right side
    246,802x = 130,214,887,609
  5. Step 5: Solve for x
    x = 130,214,887,609/246,802
  6. Step 6: Final answer
    x = 527,608.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.