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Finding the Third Proportional to 299,043 and 653,126

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Solution

The third proportional to 299,043 and 653,126 is: 1,426,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,043 : 653,126 = 653,126 : x
  2. Step 2: Convert to fraction form
    299,043/653,126 = 653,126/x
  3. Step 3: Cross multiply
    299,043x = 653,126 × 653,126
  4. Step 4: Simplify right side
    299,043x = 426,573,571,876
  5. Step 5: Solve for x
    x = 426,573,571,876/299,043
  6. Step 6: Final answer
    x = 1,426,462.32

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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.