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Finding the Third Proportional to 388,167.75 and 848,746.50

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Solution

The third proportional to 388,167.75 and 848,746.50 is: 1,855,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,167.75 : 848,746.50 = 848,746.50 : x
  2. Step 2: Convert to fraction form
    388,167.75/848,746.50 = 848,746.50/x
  3. Step 3: Cross multiply
    388,167.75x = 848,746.50 × 848,746.50
  4. Step 4: Simplify right side
    388,167.75x = 720,370,621,262.25
  5. Step 5: Solve for x
    x = 720,370,621,262.25/388,167.75
  6. Step 6: Final answer
    x = 1,855,822.96

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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.