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Finding the Third Proportional to 380,475 and 589,949

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Solution

The third proportional to 380,475 and 589,949 is: 914,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,475 : 589,949 = 589,949 : x
  2. Step 2: Convert to fraction form
    380,475/589,949 = 589,949/x
  3. Step 3: Cross multiply
    380,475x = 589,949 × 589,949
  4. Step 4: Simplify right side
    380,475x = 348,039,822,601
  5. Step 5: Solve for x
    x = 348,039,822,601/380,475
  6. Step 6: Final answer
    x = 914,750.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.