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Finding the Third Proportional to 635,275 and 954,330

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Solution

The third proportional to 635,275 and 954,330 is: 1,433,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,275 : 954,330 = 954,330 : x
  2. Step 2: Convert to fraction form
    635,275/954,330 = 954,330/x
  3. Step 3: Cross multiply
    635,275x = 954,330 × 954,330
  4. Step 4: Simplify right side
    635,275x = 910,745,748,900
  5. Step 5: Solve for x
    x = 910,745,748,900/635,275
  6. Step 6: Final answer
    x = 1,433,624.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.