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Finding the Third Proportional to 805,669.50 and 1,090,324.50

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Solution

The third proportional to 805,669.50 and 1,090,324.50 is: 1,475,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,669.50 : 1,090,324.50 = 1,090,324.50 : x
  2. Step 2: Convert to fraction form
    805,669.50/1,090,324.50 = 1,090,324.50/x
  3. Step 3: Cross multiply
    805,669.50x = 1,090,324.50 × 1,090,324.50
  4. Step 4: Simplify right side
    805,669.50x = 1,188,807,515,300.25
  5. Step 5: Solve for x
    x = 1,188,807,515,300.25/805,669.50
  6. Step 6: Final answer
    x = 1,475,552.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.