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Finding the Third Proportional to 297,877.50 and 648,171

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Solution

The third proportional to 297,877.50 and 648,171 is: 1,410,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,877.50 : 648,171 = 648,171 : x
  2. Step 2: Convert to fraction form
    297,877.50/648,171 = 648,171/x
  3. Step 3: Cross multiply
    297,877.50x = 648,171 × 648,171
  4. Step 4: Simplify right side
    297,877.50x = 420,125,645,241
  5. Step 5: Solve for x
    x = 420,125,645,241/297,877.50
  6. Step 6: Final answer
    x = 1,410,397.38

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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.