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Finding the Third Proportional to 548,314.31 and 817,907.63

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Solution

The third proportional to 548,314.31 and 817,907.63 is: 1,220,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,314.31 : 817,907.63 = 817,907.63 : x
  2. Step 2: Convert to fraction form
    548,314.31/817,907.63 = 817,907.63/x
  3. Step 3: Cross multiply
    548,314.31x = 817,907.63 × 817,907.63
  4. Step 4: Simplify right side
    548,314.31x = 668,972,883,033.14
  5. Step 5: Solve for x
    x = 668,972,883,033.14/548,314.31
  6. Step 6: Final answer
    x = 1,220,053.66

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