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Finding the Third Proportional to 269,062 and 585,416

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Solution

The third proportional to 269,062 and 585,416 is: 1,273,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,062 : 585,416 = 585,416 : x
  2. Step 2: Convert to fraction form
    269,062/585,416 = 585,416/x
  3. Step 3: Cross multiply
    269,062x = 585,416 × 585,416
  4. Step 4: Simplify right side
    269,062x = 342,711,893,056
  5. Step 5: Solve for x
    x = 342,711,893,056/269,062
  6. Step 6: Final answer
    x = 1,273,728.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.