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Finding the Third Proportional to 297,882 and 648,180

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Solution

The third proportional to 297,882 and 648,180 is: 1,410,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,882 : 648,180 = 648,180 : x
  2. Step 2: Convert to fraction form
    297,882/648,180 = 648,180/x
  3. Step 3: Cross multiply
    297,882x = 648,180 × 648,180
  4. Step 4: Simplify right side
    297,882x = 420,137,312,400
  5. Step 5: Solve for x
    x = 420,137,312,400/297,882
  6. Step 6: Final answer
    x = 1,410,415.24

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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.