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Finding the Third Proportional to 505,944 and 756,180

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Solution

The third proportional to 505,944 and 756,180 is: 1,130,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,944 : 756,180 = 756,180 : x
  2. Step 2: Convert to fraction form
    505,944/756,180 = 756,180/x
  3. Step 3: Cross multiply
    505,944x = 756,180 × 756,180
  4. Step 4: Simplify right side
    505,944x = 571,808,192,400
  5. Step 5: Solve for x
    x = 571,808,192,400/505,944
  6. Step 6: Final answer
    x = 1,130,180.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.