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Finding the Third Proportional to 664,490 and 996,535

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Solution

The third proportional to 664,490 and 996,535 is: 1,494,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,490 : 996,535 = 996,535 : x
  2. Step 2: Convert to fraction form
    664,490/996,535 = 996,535/x
  3. Step 3: Cross multiply
    664,490x = 996,535 × 996,535
  4. Step 4: Simplify right side
    664,490x = 993,082,006,225
  5. Step 5: Solve for x
    x = 993,082,006,225/664,490
  6. Step 6: Final answer
    x = 1,494,502.56

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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.