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Finding the Third Proportional to 295,107 and 633,225

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Solution

The third proportional to 295,107 and 633,225 is: 1,358,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,107 : 633,225 = 633,225 : x
  2. Step 2: Convert to fraction form
    295,107/633,225 = 633,225/x
  3. Step 3: Cross multiply
    295,107x = 633,225 × 633,225
  4. Step 4: Simplify right side
    295,107x = 400,973,900,625
  5. Step 5: Solve for x
    x = 400,973,900,625/295,107
  6. Step 6: Final answer
    x = 1,358,740.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.