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Finding the Third Proportional to 269,254 and 590,732

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Solution

The third proportional to 269,254 and 590,732 is: 1,296,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,254 : 590,732 = 590,732 : x
  2. Step 2: Convert to fraction form
    269,254/590,732 = 590,732/x
  3. Step 3: Cross multiply
    269,254x = 590,732 × 590,732
  4. Step 4: Simplify right side
    269,254x = 348,964,295,824
  5. Step 5: Solve for x
    x = 348,964,295,824/269,254
  6. Step 6: Final answer
    x = 1,296,041.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.