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Finding the Third Proportional to 263,850 and 565,122

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Solution

The third proportional to 263,850 and 565,122 is: 1,210,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,850 : 565,122 = 565,122 : x
  2. Step 2: Convert to fraction form
    263,850/565,122 = 565,122/x
  3. Step 3: Cross multiply
    263,850x = 565,122 × 565,122
  4. Step 4: Simplify right side
    263,850x = 319,362,874,884
  5. Step 5: Solve for x
    x = 319,362,874,884/263,850
  6. Step 6: Final answer
    x = 1,210,395.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.