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Finding the Third Proportional to 389,184.75 and 846,525.94

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Solution

The third proportional to 389,184.75 and 846,525.94 is: 1,841,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,184.75 : 846,525.94 = 846,525.94 : x
  2. Step 2: Convert to fraction form
    389,184.75/846,525.94 = 846,525.94/x
  3. Step 3: Cross multiply
    389,184.75x = 846,525.94 × 846,525.94
  4. Step 4: Simplify right side
    389,184.75x = 716,606,162,860.25
  5. Step 5: Solve for x
    x = 716,606,162,860.25/389,184.75
  6. Step 6: Final answer
    x = 1,841,300.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.