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Finding the Third Proportional to 388,081.13 and 848,302.88

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Solution

The third proportional to 388,081.13 and 848,302.88 is: 1,854,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,081.13 : 848,302.88 = 848,302.88 : x
  2. Step 2: Convert to fraction form
    388,081.13/848,302.88 = 848,302.88/x
  3. Step 3: Cross multiply
    388,081.13x = 848,302.88 × 848,302.88
  4. Step 4: Simplify right side
    388,081.13x = 719,617,767,733.27
  5. Step 5: Solve for x
    x = 719,617,767,733.27/388,081.13
  6. Step 6: Final answer
    x = 1,854,297.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.