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Finding the Third Proportional to 389,188.13 and 846,532.69

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Solution

The third proportional to 389,188.13 and 846,532.69 is: 1,841,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,188.13 : 846,532.69 = 846,532.69 : x
  2. Step 2: Convert to fraction form
    389,188.13/846,532.69 = 846,532.69/x
  3. Step 3: Cross multiply
    389,188.13x = 846,532.69 × 846,532.69
  4. Step 4: Simplify right side
    389,188.13x = 716,617,591,005.97
  5. Step 5: Solve for x
    x = 716,617,591,005.97/389,188.13
  6. Step 6: Final answer
    x = 1,841,314.12

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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.