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Finding the Third Proportional to 340,556.06 and 527,284.69

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Solution

The third proportional to 340,556.06 and 527,284.69 is: 816,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,556.06 : 527,284.69 = 527,284.69 : x
  2. Step 2: Convert to fraction form
    340,556.06/527,284.69 = 527,284.69/x
  3. Step 3: Cross multiply
    340,556.06x = 527,284.69 × 527,284.69
  4. Step 4: Simplify right side
    340,556.06x = 278,029,141,671.97
  5. Step 5: Solve for x
    x = 278,029,141,671.97/340,556.06
  6. Step 6: Final answer
    x = 816,397.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.