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Finding the Third Proportional to 305,664 and 664,032

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Solution

The third proportional to 305,664 and 664,032 is: 1,442,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,664 : 664,032 = 664,032 : x
  2. Step 2: Convert to fraction form
    305,664/664,032 = 664,032/x
  3. Step 3: Cross multiply
    305,664x = 664,032 × 664,032
  4. Step 4: Simplify right side
    305,664x = 440,938,497,024
  5. Step 5: Solve for x
    x = 440,938,497,024/305,664
  6. Step 6: Final answer
    x = 1,442,559.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.