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Finding the Third Proportional to 260,472 and 534,752

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Solution

The third proportional to 260,472 and 534,752 is: 1,097,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472 : 534,752 = 534,752 : x
  2. Step 2: Convert to fraction form
    260,472/534,752 = 534,752/x
  3. Step 3: Cross multiply
    260,472x = 534,752 × 534,752
  4. Step 4: Simplify right side
    260,472x = 285,959,701,504
  5. Step 5: Solve for x
    x = 285,959,701,504/260,472
  6. Step 6: Final answer
    x = 1,097,851.98

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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.