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Finding the Third Proportional to 263,398 and 569,348

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Solution

The third proportional to 263,398 and 569,348 is: 1,230,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,398 : 569,348 = 569,348 : x
  2. Step 2: Convert to fraction form
    263,398/569,348 = 569,348/x
  3. Step 3: Cross multiply
    263,398x = 569,348 × 569,348
  4. Step 4: Simplify right side
    263,398x = 324,157,145,104
  5. Step 5: Solve for x
    x = 324,157,145,104/263,398
  6. Step 6: Final answer
    x = 1,230,674.28

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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.