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Finding the Third Proportional to 299,040 and 653,120

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Solution

The third proportional to 299,040 and 653,120 is: 1,426,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,040 : 653,120 = 653,120 : x
  2. Step 2: Convert to fraction form
    299,040/653,120 = 653,120/x
  3. Step 3: Cross multiply
    299,040x = 653,120 × 653,120
  4. Step 4: Simplify right side
    299,040x = 426,565,734,400
  5. Step 5: Solve for x
    x = 426,565,734,400/299,040
  6. Step 6: Final answer
    x = 1,426,450.42

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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.