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Finding the Third Proportional to 265,727.25 and 566,932.50

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Solution

The third proportional to 265,727.25 and 566,932.50 is: 1,209,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,727.25 : 566,932.50 = 566,932.50 : x
  2. Step 2: Convert to fraction form
    265,727.25/566,932.50 = 566,932.50/x
  3. Step 3: Cross multiply
    265,727.25x = 566,932.50 × 566,932.50
  4. Step 4: Simplify right side
    265,727.25x = 321,412,459,556.25
  5. Step 5: Solve for x
    x = 321,412,459,556.25/265,727.25
  6. Step 6: Final answer
    x = 1,209,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.