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Finding the Third Proportional to 295,066 and 633,122

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Solution

The third proportional to 295,066 and 633,122 is: 1,358,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,066 : 633,122 = 633,122 : x
  2. Step 2: Convert to fraction form
    295,066/633,122 = 633,122/x
  3. Step 3: Cross multiply
    295,066x = 633,122 × 633,122
  4. Step 4: Simplify right side
    295,066x = 400,843,466,884
  5. Step 5: Solve for x
    x = 400,843,466,884/295,066
  6. Step 6: Final answer
    x = 1,358,487.48

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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.