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Finding the Third Proportional to 291,767 and 633,329

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Solution

The third proportional to 291,767 and 633,329 is: 1,374,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,767 : 633,329 = 633,329 : x
  2. Step 2: Convert to fraction form
    291,767/633,329 = 633,329/x
  3. Step 3: Cross multiply
    291,767x = 633,329 × 633,329
  4. Step 4: Simplify right side
    291,767x = 401,105,622,241
  5. Step 5: Solve for x
    x = 401,105,622,241/291,767
  6. Step 6: Final answer
    x = 1,374,746.36

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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.