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Finding the Third Proportional to 676,772 and 952,201

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Solution

The third proportional to 676,772 and 952,201 is: 1,339,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,772 : 952,201 = 952,201 : x
  2. Step 2: Convert to fraction form
    676,772/952,201 = 952,201/x
  3. Step 3: Cross multiply
    676,772x = 952,201 × 952,201
  4. Step 4: Simplify right side
    676,772x = 906,686,744,401
  5. Step 5: Solve for x
    x = 906,686,744,401/676,772
  6. Step 6: Final answer
    x = 1,339,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.