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Finding the Third Proportional to 299,673 and 621,459

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Solution

The third proportional to 299,673 and 621,459 is: 1,288,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673 : 621,459 = 621,459 : x
  2. Step 2: Convert to fraction form
    299,673/621,459 = 621,459/x
  3. Step 3: Cross multiply
    299,673x = 621,459 × 621,459
  4. Step 4: Simplify right side
    299,673x = 386,211,288,681
  5. Step 5: Solve for x
    x = 386,211,288,681/299,673
  6. Step 6: Final answer
    x = 1,288,775.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.