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Finding the Third Proportional to 459,564 and 673,326

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Solution

The third proportional to 459,564 and 673,326 is: 986,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,564 : 673,326 = 673,326 : x
  2. Step 2: Convert to fraction form
    459,564/673,326 = 673,326/x
  3. Step 3: Cross multiply
    459,564x = 673,326 × 673,326
  4. Step 4: Simplify right side
    459,564x = 453,367,902,276
  5. Step 5: Solve for x
    x = 453,367,902,276/459,564
  6. Step 6: Final answer
    x = 986,517.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.