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Finding the Third Proportional to 451,594.14 and 664,916.34

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Solution

The third proportional to 451,594.14 and 664,916.34 is: 979,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,594.14 : 664,916.34 = 664,916.34 : x
  2. Step 2: Convert to fraction form
    451,594.14/664,916.34 = 664,916.34/x
  3. Step 3: Cross multiply
    451,594.14x = 664,916.34 × 664,916.34
  4. Step 4: Simplify right side
    451,594.14x = 442,113,744,185.87
  5. Step 5: Solve for x
    x = 442,113,744,185.87/451,594.14
  6. Step 6: Final answer
    x = 979,006.82

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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.