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Finding the Third Proportional to 459,546 and 673,299

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Solution

The third proportional to 459,546 and 673,299 is: 986,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,546 : 673,299 = 673,299 : x
  2. Step 2: Convert to fraction form
    459,546/673,299 = 673,299/x
  3. Step 3: Cross multiply
    459,546x = 673,299 × 673,299
  4. Step 4: Simplify right side
    459,546x = 453,331,543,401
  5. Step 5: Solve for x
    x = 453,331,543,401/459,546
  6. Step 6: Final answer
    x = 986,476.97

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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.