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Finding the Third Proportional to 561,367.13 and 1,230,369.75

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Solution

The third proportional to 561,367.13 and 1,230,369.75 is: 2,696,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,367.13 : 1,230,369.75 = 1,230,369.75 : x
  2. Step 2: Convert to fraction form
    561,367.13/1,230,369.75 = 1,230,369.75/x
  3. Step 3: Cross multiply
    561,367.13x = 1,230,369.75 × 1,230,369.75
  4. Step 4: Simplify right side
    561,367.13x = 1,513,809,721,715.06
  5. Step 5: Solve for x
    x = 1,513,809,721,715.06/561,367.13
  6. Step 6: Final answer
    x = 2,696,648.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.