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Finding the Third Proportional to 524,611.69 and 810,106.31

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Solution

The third proportional to 524,611.69 and 810,106.31 is: 1,250,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,611.69 : 810,106.31 = 810,106.31 : x
  2. Step 2: Convert to fraction form
    524,611.69/810,106.31 = 810,106.31/x
  3. Step 3: Cross multiply
    524,611.69x = 810,106.31 × 810,106.31
  4. Step 4: Simplify right side
    524,611.69x = 656,272,237,552.35
  5. Step 5: Solve for x
    x = 656,272,237,552.35/524,611.69
  6. Step 6: Final answer
    x = 1,250,967.63

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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.