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Finding the Third Proportional to 299,698 and 637,533

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Solution

The third proportional to 299,698 and 637,533 is: 1,356,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,698 : 637,533 = 637,533 : x
  2. Step 2: Convert to fraction form
    299,698/637,533 = 637,533/x
  3. Step 3: Cross multiply
    299,698x = 637,533 × 637,533
  4. Step 4: Simplify right side
    299,698x = 406,448,326,089
  5. Step 5: Solve for x
    x = 406,448,326,089/299,698
  6. Step 6: Final answer
    x = 1,356,192.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.