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Finding the Third Proportional to 351,032 and 684,565

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Solution

The third proportional to 351,032 and 684,565 is: 1,335,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,032 : 684,565 = 684,565 : x
  2. Step 2: Convert to fraction form
    351,032/684,565 = 684,565/x
  3. Step 3: Cross multiply
    351,032x = 684,565 × 684,565
  4. Step 4: Simplify right side
    351,032x = 468,629,239,225
  5. Step 5: Solve for x
    x = 468,629,239,225/351,032
  6. Step 6: Final answer
    x = 1,335,004.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.