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Finding the Third Proportional to 496,824 and 1,077,664.50

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Solution

The third proportional to 496,824 and 1,077,664.50 is: 2,337,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,824 : 1,077,664.50 = 1,077,664.50 : x
  2. Step 2: Convert to fraction form
    496,824/1,077,664.50 = 1,077,664.50/x
  3. Step 3: Cross multiply
    496,824x = 1,077,664.50 × 1,077,664.50
  4. Step 4: Simplify right side
    496,824x = 1,161,360,774,560.25
  5. Step 5: Solve for x
    x = 1,161,360,774,560.25/496,824
  6. Step 6: Final answer
    x = 2,337,569.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.