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Finding the Third Proportional to 505,320.75 and 760,029.75

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Solution

The third proportional to 505,320.75 and 760,029.75 is: 1,143,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,320.75 : 760,029.75 = 760,029.75 : x
  2. Step 2: Convert to fraction form
    505,320.75/760,029.75 = 760,029.75/x
  3. Step 3: Cross multiply
    505,320.75x = 760,029.75 × 760,029.75
  4. Step 4: Simplify right side
    505,320.75x = 577,645,220,885.06
  5. Step 5: Solve for x
    x = 577,645,220,885.06/505,320.75
  6. Step 6: Final answer
    x = 1,143,125.87

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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.