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Finding the Third Proportional to 455,326 and 668,220

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Solution

The third proportional to 455,326 and 668,220 is: 980,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,326 : 668,220 = 668,220 : x
  2. Step 2: Convert to fraction form
    455,326/668,220 = 668,220/x
  3. Step 3: Cross multiply
    455,326x = 668,220 × 668,220
  4. Step 4: Simplify right side
    455,326x = 446,517,968,400
  5. Step 5: Solve for x
    x = 446,517,968,400/455,326
  6. Step 6: Final answer
    x = 980,655.55

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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.