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Finding the Third Proportional to 505,554 and 759,627

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Solution

The third proportional to 505,554 and 759,627 is: 1,141,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,554 : 759,627 = 759,627 : x
  2. Step 2: Convert to fraction form
    505,554/759,627 = 759,627/x
  3. Step 3: Cross multiply
    505,554x = 759,627 × 759,627
  4. Step 4: Simplify right side
    505,554x = 577,033,179,129
  5. Step 5: Solve for x
    x = 577,033,179,129/505,554
  6. Step 6: Final answer
    x = 1,141,387.82

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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.