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Finding the Third Proportional to 291,112 and 633,488

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Solution

The third proportional to 291,112 and 633,488 is: 1,378,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,112 : 633,488 = 633,488 : x
  2. Step 2: Convert to fraction form
    291,112/633,488 = 633,488/x
  3. Step 3: Cross multiply
    291,112x = 633,488 × 633,488
  4. Step 4: Simplify right side
    291,112x = 401,307,046,144
  5. Step 5: Solve for x
    x = 401,307,046,144/291,112
  6. Step 6: Final answer
    x = 1,378,531.45

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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.