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Finding the Third Proportional to 275,328 and 565,479

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Solution

The third proportional to 275,328 and 565,479 is: 1,161,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,328 : 565,479 = 565,479 : x
  2. Step 2: Convert to fraction form
    275,328/565,479 = 565,479/x
  3. Step 3: Cross multiply
    275,328x = 565,479 × 565,479
  4. Step 4: Simplify right side
    275,328x = 319,766,499,441
  5. Step 5: Solve for x
    x = 319,766,499,441/275,328
  6. Step 6: Final answer
    x = 1,161,402.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.