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Finding the Third Proportional to 259,571 and 575,506

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Solution

The third proportional to 259,571 and 575,506 is: 1,275,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,571 : 575,506 = 575,506 : x
  2. Step 2: Convert to fraction form
    259,571/575,506 = 575,506/x
  3. Step 3: Cross multiply
    259,571x = 575,506 × 575,506
  4. Step 4: Simplify right side
    259,571x = 331,207,156,036
  5. Step 5: Solve for x
    x = 331,207,156,036/259,571
  6. Step 6: Final answer
    x = 1,275,979.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.