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Finding the Third Proportional to 352,356 and 544,086

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Solution

The third proportional to 352,356 and 544,086 is: 840,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,356 : 544,086 = 544,086 : x
  2. Step 2: Convert to fraction form
    352,356/544,086 = 544,086/x
  3. Step 3: Cross multiply
    352,356x = 544,086 × 544,086
  4. Step 4: Simplify right side
    352,356x = 296,029,575,396
  5. Step 5: Solve for x
    x = 296,029,575,396/352,356
  6. Step 6: Final answer
    x = 840,143.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.