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Finding the Third Proportional to 291,354 and 633,982

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Solution

The third proportional to 291,354 and 633,982 is: 1,379,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,354 : 633,982 = 633,982 : x
  2. Step 2: Convert to fraction form
    291,354/633,982 = 633,982/x
  3. Step 3: Cross multiply
    291,354x = 633,982 × 633,982
  4. Step 4: Simplify right side
    291,354x = 401,933,176,324
  5. Step 5: Solve for x
    x = 401,933,176,324/291,354
  6. Step 6: Final answer
    x = 1,379,535.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.