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Finding the Third Proportional to 388,082 and 848,309

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Solution

The third proportional to 388,082 and 848,309 is: 1,854,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,082 : 848,309 = 848,309 : x
  2. Step 2: Convert to fraction form
    388,082/848,309 = 848,309/x
  3. Step 3: Cross multiply
    388,082x = 848,309 × 848,309
  4. Step 4: Simplify right side
    388,082x = 719,628,159,481
  5. Step 5: Solve for x
    x = 719,628,159,481/388,082
  6. Step 6: Final answer
    x = 1,854,319.86

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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.