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Finding the Third Proportional to 451,602 and 664,927

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Solution

The third proportional to 451,602 and 664,927 is: 979,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,602 : 664,927 = 664,927 : x
  2. Step 2: Convert to fraction form
    451,602/664,927 = 664,927/x
  3. Step 3: Cross multiply
    451,602x = 664,927 × 664,927
  4. Step 4: Simplify right side
    451,602x = 442,127,915,329
  5. Step 5: Solve for x
    x = 442,127,915,329/451,602
  6. Step 6: Final answer
    x = 979,021.16

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