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Finding the Third Proportional to 291,764 and 633,323

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Solution

The third proportional to 291,764 and 633,323 is: 1,374,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,764 : 633,323 = 633,323 : x
  2. Step 2: Convert to fraction form
    291,764/633,323 = 633,323/x
  3. Step 3: Cross multiply
    291,764x = 633,323 × 633,323
  4. Step 4: Simplify right side
    291,764x = 401,098,022,329
  5. Step 5: Solve for x
    x = 401,098,022,329/291,764
  6. Step 6: Final answer
    x = 1,374,734.45

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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.