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Finding the Third Proportional to 260,466 and 534,740

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Solution

The third proportional to 260,466 and 534,740 is: 1,097,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,466 : 534,740 = 534,740 : x
  2. Step 2: Convert to fraction form
    260,466/534,740 = 534,740/x
  3. Step 3: Cross multiply
    260,466x = 534,740 × 534,740
  4. Step 4: Simplify right side
    260,466x = 285,946,867,600
  5. Step 5: Solve for x
    x = 285,946,867,600/260,466
  6. Step 6: Final answer
    x = 1,097,828.00

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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.