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Finding the Third Proportional to 269,740 and 590,275

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Solution

The third proportional to 269,740 and 590,275 is: 1,291,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,740 : 590,275 = 590,275 : x
  2. Step 2: Convert to fraction form
    269,740/590,275 = 590,275/x
  3. Step 3: Cross multiply
    269,740x = 590,275 × 590,275
  4. Step 4: Simplify right side
    269,740x = 348,424,575,625
  5. Step 5: Solve for x
    x = 348,424,575,625/269,740
  6. Step 6: Final answer
    x = 1,291,705.26

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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.