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Finding the Third Proportional to 505,540 and 759,606

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Solution

The third proportional to 505,540 and 759,606 is: 1,141,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,540 : 759,606 = 759,606 : x
  2. Step 2: Convert to fraction form
    505,540/759,606 = 759,606/x
  3. Step 3: Cross multiply
    505,540x = 759,606 × 759,606
  4. Step 4: Simplify right side
    505,540x = 577,001,275,236
  5. Step 5: Solve for x
    x = 577,001,275,236/505,540
  6. Step 6: Final answer
    x = 1,141,356.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.