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Finding the Third Proportional to 260,147 and 567,445

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Solution

The third proportional to 260,147 and 567,445 is: 1,237,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147 : 567,445 = 567,445 : x
  2. Step 2: Convert to fraction form
    260,147/567,445 = 567,445/x
  3. Step 3: Cross multiply
    260,147x = 567,445 × 567,445
  4. Step 4: Simplify right side
    260,147x = 321,993,828,025
  5. Step 5: Solve for x
    x = 321,993,828,025/260,147
  6. Step 6: Final answer
    x = 1,237,738.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.