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Finding the Third Proportional to 626,400 and 954,288

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Solution

The third proportional to 626,400 and 954,288 is: 1,453,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,400 : 954,288 = 954,288 : x
  2. Step 2: Convert to fraction form
    626,400/954,288 = 954,288/x
  3. Step 3: Cross multiply
    626,400x = 954,288 × 954,288
  4. Step 4: Simplify right side
    626,400x = 910,665,586,944
  5. Step 5: Solve for x
    x = 910,665,586,944/626,400
  6. Step 6: Final answer
    x = 1,453,808.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.