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Finding the Third Proportional to 473,745.94 and 728,916.19

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Solution

The third proportional to 473,745.94 and 728,916.19 is: 1,121,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,745.94 : 728,916.19 = 728,916.19 : x
  2. Step 2: Convert to fraction form
    473,745.94/728,916.19 = 728,916.19/x
  3. Step 3: Cross multiply
    473,745.94x = 728,916.19 × 728,916.19
  4. Step 4: Simplify right side
    473,745.94x = 531,318,808,399.54
  5. Step 5: Solve for x
    x = 531,318,808,399.54/473,745.94
  6. Step 6: Final answer
    x = 1,121,526.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.