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Finding the Third Proportional to 259,350 and 536,700

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Solution

The third proportional to 259,350 and 536,700 is: 1,110,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,350 : 536,700 = 536,700 : x
  2. Step 2: Convert to fraction form
    259,350/536,700 = 536,700/x
  3. Step 3: Cross multiply
    259,350x = 536,700 × 536,700
  4. Step 4: Simplify right side
    259,350x = 288,046,890,000
  5. Step 5: Solve for x
    x = 288,046,890,000/259,350
  6. Step 6: Final answer
    x = 1,110,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.