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Finding the Third Proportional to 291,763 and 633,321

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Solution

The third proportional to 291,763 and 633,321 is: 1,374,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,763 : 633,321 = 633,321 : x
  2. Step 2: Convert to fraction form
    291,763/633,321 = 633,321/x
  3. Step 3: Cross multiply
    291,763x = 633,321 × 633,321
  4. Step 4: Simplify right side
    291,763x = 401,095,489,041
  5. Step 5: Solve for x
    x = 401,095,489,041/291,763
  6. Step 6: Final answer
    x = 1,374,730.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.