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Finding the Third Proportional to 299,553 and 652,004

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Solution

The third proportional to 299,553 and 652,004 is: 1,419,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,553 : 652,004 = 652,004 : x
  2. Step 2: Convert to fraction form
    299,553/652,004 = 652,004/x
  3. Step 3: Cross multiply
    299,553x = 652,004 × 652,004
  4. Step 4: Simplify right side
    299,553x = 425,109,216,016
  5. Step 5: Solve for x
    x = 425,109,216,016/299,553
  6. Step 6: Final answer
    x = 1,419,145.25

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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.