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Finding the Third Proportional to 297,064 and 641,478

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Solution

The third proportional to 297,064 and 641,478 is: 1,385,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,064 : 641,478 = 641,478 : x
  2. Step 2: Convert to fraction form
    297,064/641,478 = 641,478/x
  3. Step 3: Cross multiply
    297,064x = 641,478 × 641,478
  4. Step 4: Simplify right side
    297,064x = 411,494,024,484
  5. Step 5: Solve for x
    x = 411,494,024,484/297,064
  6. Step 6: Final answer
    x = 1,385,203.27

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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.