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Finding the Third Proportional to 295,050 and 633,103

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Solution

The third proportional to 295,050 and 633,103 is: 1,358,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,050 : 633,103 = 633,103 : x
  2. Step 2: Convert to fraction form
    295,050/633,103 = 633,103/x
  3. Step 3: Cross multiply
    295,050x = 633,103 × 633,103
  4. Step 4: Simplify right side
    295,050x = 400,819,408,609
  5. Step 5: Solve for x
    x = 400,819,408,609/295,050
  6. Step 6: Final answer
    x = 1,358,479.61

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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.