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Finding the Third Proportional to 388,082.25 and 848,307.75

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Solution

The third proportional to 388,082.25 and 848,307.75 is: 1,854,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,082.25 : 848,307.75 = 848,307.75 : x
  2. Step 2: Convert to fraction form
    388,082.25/848,307.75 = 848,307.75/x
  3. Step 3: Cross multiply
    388,082.25x = 848,307.75 × 848,307.75
  4. Step 4: Simplify right side
    388,082.25x = 719,626,038,710.06
  5. Step 5: Solve for x
    x = 719,626,038,710.06/388,082.25
  6. Step 6: Final answer
    x = 1,854,313.20

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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.