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Finding the Third Proportional to 297,096 and 641,535

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Solution

The third proportional to 297,096 and 641,535 is: 1,385,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,096 : 641,535 = 641,535 : x
  2. Step 2: Convert to fraction form
    297,096/641,535 = 641,535/x
  3. Step 3: Cross multiply
    297,096x = 641,535 × 641,535
  4. Step 4: Simplify right side
    297,096x = 411,567,156,225
  5. Step 5: Solve for x
    x = 411,567,156,225/297,096
  6. Step 6: Final answer
    x = 1,385,300.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.