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Finding the Third Proportional to 419,565 and 645,274

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Solution

The third proportional to 419,565 and 645,274 is: 992,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,565 : 645,274 = 645,274 : x
  2. Step 2: Convert to fraction form
    419,565/645,274 = 645,274/x
  3. Step 3: Cross multiply
    419,565x = 645,274 × 645,274
  4. Step 4: Simplify right side
    419,565x = 416,378,535,076
  5. Step 5: Solve for x
    x = 416,378,535,076/419,565
  6. Step 6: Final answer
    x = 992,405.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.