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Finding the Third Proportional to 536,574 and 751,998

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Solution

The third proportional to 536,574 and 751,998 is: 1,053,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,574 : 751,998 = 751,998 : x
  2. Step 2: Convert to fraction form
    536,574/751,998 = 751,998/x
  3. Step 3: Cross multiply
    536,574x = 751,998 × 751,998
  4. Step 4: Simplify right side
    536,574x = 565,500,992,004
  5. Step 5: Solve for x
    x = 565,500,992,004/536,574
  6. Step 6: Final answer
    x = 1,053,910.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.