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Finding the Third Proportional to 455,564.25 and 668,538.56

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Solution

The third proportional to 455,564.25 and 668,538.56 is: 981,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,564.25 : 668,538.56 = 668,538.56 : x
  2. Step 2: Convert to fraction form
    455,564.25/668,538.56 = 668,538.56/x
  3. Step 3: Cross multiply
    455,564.25x = 668,538.56 × 668,538.56
  4. Step 4: Simplify right side
    455,564.25x = 446,943,809,549.57
  5. Step 5: Solve for x
    x = 446,943,809,549.57/455,564.25
  6. Step 6: Final answer
    x = 981,077.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.