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Finding the Third Proportional to 664,484 and 996,516

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Solution

The third proportional to 664,484 and 996,516 is: 1,494,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,484 : 996,516 = 996,516 : x
  2. Step 2: Convert to fraction form
    664,484/996,516 = 996,516/x
  3. Step 3: Cross multiply
    664,484x = 996,516 × 996,516
  4. Step 4: Simplify right side
    664,484x = 993,044,138,256
  5. Step 5: Solve for x
    x = 993,044,138,256/664,484
  6. Step 6: Final answer
    x = 1,494,459.07

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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.