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Finding the Third Proportional to 458,006.50 and 673,324

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Solution

The third proportional to 458,006.50 and 673,324 is: 989,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,006.50 : 673,324 = 673,324 : x
  2. Step 2: Convert to fraction form
    458,006.50/673,324 = 673,324/x
  3. Step 3: Cross multiply
    458,006.50x = 673,324 × 673,324
  4. Step 4: Simplify right side
    458,006.50x = 453,365,208,976
  5. Step 5: Solve for x
    x = 453,365,208,976/458,006.50
  6. Step 6: Final answer
    x = 989,866.32

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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.