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Finding the Third Proportional to 505,544 and 759,612

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Solution

The third proportional to 505,544 and 759,612 is: 1,141,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,544 : 759,612 = 759,612 : x
  2. Step 2: Convert to fraction form
    505,544/759,612 = 759,612/x
  3. Step 3: Cross multiply
    505,544x = 759,612 × 759,612
  4. Step 4: Simplify right side
    505,544x = 577,010,390,544
  5. Step 5: Solve for x
    x = 577,010,390,544/505,544
  6. Step 6: Final answer
    x = 1,141,365.32

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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.