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Finding the Third Proportional to 299,930 and 633,576

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Solution

The third proportional to 299,930 and 633,576 is: 1,338,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,930 : 633,576 = 633,576 : x
  2. Step 2: Convert to fraction form
    299,930/633,576 = 633,576/x
  3. Step 3: Cross multiply
    299,930x = 633,576 × 633,576
  4. Step 4: Simplify right side
    299,930x = 401,418,547,776
  5. Step 5: Solve for x
    x = 401,418,547,776/299,930
  6. Step 6: Final answer
    x = 1,338,374.11

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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.