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Finding the Third Proportional to 299,433 and 450,365

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Solution

The third proportional to 299,433 and 450,365 is: 677,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433 : 450,365 = 450,365 : x
  2. Step 2: Convert to fraction form
    299,433/450,365 = 450,365/x
  3. Step 3: Cross multiply
    299,433x = 450,365 × 450,365
  4. Step 4: Simplify right side
    299,433x = 202,828,633,225
  5. Step 5: Solve for x
    x = 202,828,633,225/299,433
  6. Step 6: Final answer
    x = 677,375.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.