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Finding the Third Proportional to 505,317 and 760,026

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Solution

The third proportional to 505,317 and 760,026 is: 1,143,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,317 : 760,026 = 760,026 : x
  2. Step 2: Convert to fraction form
    505,317/760,026 = 760,026/x
  3. Step 3: Cross multiply
    505,317x = 760,026 × 760,026
  4. Step 4: Simplify right side
    505,317x = 577,639,520,676
  5. Step 5: Solve for x
    x = 577,639,520,676/505,317
  6. Step 6: Final answer
    x = 1,143,123.07

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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.