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Finding the Third Proportional to 305,583 and 672,084

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Solution

The third proportional to 305,583 and 672,084 is: 1,478,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,583 : 672,084 = 672,084 : x
  2. Step 2: Convert to fraction form
    305,583/672,084 = 672,084/x
  3. Step 3: Cross multiply
    305,583x = 672,084 × 672,084
  4. Step 4: Simplify right side
    305,583x = 451,696,903,056
  5. Step 5: Solve for x
    x = 451,696,903,056/305,583
  6. Step 6: Final answer
    x = 1,478,148.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.