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Finding the Third Proportional to 295,106 and 633,223

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Solution

The third proportional to 295,106 and 633,223 is: 1,358,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,106 : 633,223 = 633,223 : x
  2. Step 2: Convert to fraction form
    295,106/633,223 = 633,223/x
  3. Step 3: Cross multiply
    295,106x = 633,223 × 633,223
  4. Step 4: Simplify right side
    295,106x = 400,971,367,729
  5. Step 5: Solve for x
    x = 400,971,367,729/295,106
  6. Step 6: Final answer
    x = 1,358,736.75

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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.