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Finding the Third Proportional to 380,477 and 589,952

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Solution

The third proportional to 380,477 and 589,952 is: 914,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,477 : 589,952 = 589,952 : x
  2. Step 2: Convert to fraction form
    380,477/589,952 = 589,952/x
  3. Step 3: Cross multiply
    380,477x = 589,952 × 589,952
  4. Step 4: Simplify right side
    380,477x = 348,043,362,304
  5. Step 5: Solve for x
    x = 348,043,362,304/380,477
  6. Step 6: Final answer
    x = 914,755.33

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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.