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Finding the Third Proportional to 455,321.75 and 668,220.25

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Solution

The third proportional to 455,321.75 and 668,220.25 is: 980,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,321.75 : 668,220.25 = 668,220.25 : x
  2. Step 2: Convert to fraction form
    455,321.75/668,220.25 = 668,220.25/x
  3. Step 3: Cross multiply
    455,321.75x = 668,220.25 × 668,220.25
  4. Step 4: Simplify right side
    455,321.75x = 446,518,302,510.06
  5. Step 5: Solve for x
    x = 446,518,302,510.06/455,321.75
  6. Step 6: Final answer
    x = 980,665.44

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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.