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Finding the Third Proportional to 263,411 and 559,621

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Solution

The third proportional to 263,411 and 559,621 is: 1,188,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,411 : 559,621 = 559,621 : x
  2. Step 2: Convert to fraction form
    263,411/559,621 = 559,621/x
  3. Step 3: Cross multiply
    263,411x = 559,621 × 559,621
  4. Step 4: Simplify right side
    263,411x = 313,175,663,641
  5. Step 5: Solve for x
    x = 313,175,663,641/263,411
  6. Step 6: Final answer
    x = 1,188,924.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.