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Finding the Third Proportional to 269,968 and 590,786

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Solution

The third proportional to 269,968 and 590,786 is: 1,292,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,968 : 590,786 = 590,786 : x
  2. Step 2: Convert to fraction form
    269,968/590,786 = 590,786/x
  3. Step 3: Cross multiply
    269,968x = 590,786 × 590,786
  4. Step 4: Simplify right side
    269,968x = 349,028,097,796
  5. Step 5: Solve for x
    x = 349,028,097,796/269,968
  6. Step 6: Final answer
    x = 1,292,849.89

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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.