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Finding the Third Proportional to 547,629.19 and 816,886.69

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Solution

The third proportional to 547,629.19 and 816,886.69 is: 1,218,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,629.19 : 816,886.69 = 816,886.69 : x
  2. Step 2: Convert to fraction form
    547,629.19/816,886.69 = 816,886.69/x
  3. Step 3: Cross multiply
    547,629.19x = 816,886.69 × 816,886.69
  4. Step 4: Simplify right side
    547,629.19x = 667,303,860,214.72
  5. Step 5: Solve for x
    x = 667,303,860,214.72/547,629.19
  6. Step 6: Final answer
    x = 1,218,532.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.