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Finding the Third Proportional to 297,084 and 641,516

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Solution

The third proportional to 297,084 and 641,516 is: 1,385,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,084 : 641,516 = 641,516 : x
  2. Step 2: Convert to fraction form
    297,084/641,516 = 641,516/x
  3. Step 3: Cross multiply
    297,084x = 641,516 × 641,516
  4. Step 4: Simplify right side
    297,084x = 411,542,778,256
  5. Step 5: Solve for x
    x = 411,542,778,256/297,084
  6. Step 6: Final answer
    x = 1,385,274.13

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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.