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Finding the Third Proportional to 263,740 and 586,448

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Solution

The third proportional to 263,740 and 586,448 is: 1,304,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,740 : 586,448 = 586,448 : x
  2. Step 2: Convert to fraction form
    263,740/586,448 = 586,448/x
  3. Step 3: Cross multiply
    263,740x = 586,448 × 586,448
  4. Step 4: Simplify right side
    263,740x = 343,921,256,704
  5. Step 5: Solve for x
    x = 343,921,256,704/263,740
  6. Step 6: Final answer
    x = 1,304,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.