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Finding the Third Proportional to 664,805 and 996,960

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Solution

The third proportional to 664,805 and 996,960 is: 1,495,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,805 : 996,960 = 996,960 : x
  2. Step 2: Convert to fraction form
    664,805/996,960 = 996,960/x
  3. Step 3: Cross multiply
    664,805x = 996,960 × 996,960
  4. Step 4: Simplify right side
    664,805x = 993,929,241,600
  5. Step 5: Solve for x
    x = 993,929,241,600/664,805
  6. Step 6: Final answer
    x = 1,495,068.84

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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.