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Finding the Third Proportional to 263,448 and 569,016

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Solution

The third proportional to 263,448 and 569,016 is: 1,229,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,448 : 569,016 = 569,016 : x
  2. Step 2: Convert to fraction form
    263,448/569,016 = 569,016/x
  3. Step 3: Cross multiply
    263,448x = 569,016 × 569,016
  4. Step 4: Simplify right side
    263,448x = 323,779,208,256
  5. Step 5: Solve for x
    x = 323,779,208,256/263,448
  6. Step 6: Final answer
    x = 1,229,006.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.