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Finding the Third Proportional to 265,821.75 and 590,145.75

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Solution

The third proportional to 265,821.75 and 590,145.75 is: 1,310,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,821.75 : 590,145.75 = 590,145.75 : x
  2. Step 2: Convert to fraction form
    265,821.75/590,145.75 = 590,145.75/x
  3. Step 3: Cross multiply
    265,821.75x = 590,145.75 × 590,145.75
  4. Step 4: Simplify right side
    265,821.75x = 348,272,006,243.06
  5. Step 5: Solve for x
    x = 348,272,006,243.06/265,821.75
  6. Step 6: Final answer
    x = 1,310,171.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.