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Finding the Third Proportional to 299,928 and 633,572

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Solution

The third proportional to 299,928 and 633,572 is: 1,338,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,928 : 633,572 = 633,572 : x
  2. Step 2: Convert to fraction form
    299,928/633,572 = 633,572/x
  3. Step 3: Cross multiply
    299,928x = 633,572 × 633,572
  4. Step 4: Simplify right side
    299,928x = 401,413,479,184
  5. Step 5: Solve for x
    x = 401,413,479,184/299,928
  6. Step 6: Final answer
    x = 1,338,366.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.