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Finding the Third Proportional to 297,073 and 641,494

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Solution

The third proportional to 297,073 and 641,494 is: 1,385,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,073 : 641,494 = 641,494 : x
  2. Step 2: Convert to fraction form
    297,073/641,494 = 641,494/x
  3. Step 3: Cross multiply
    297,073x = 641,494 × 641,494
  4. Step 4: Simplify right side
    297,073x = 411,514,552,036
  5. Step 5: Solve for x
    x = 411,514,552,036/297,073
  6. Step 6: Final answer
    x = 1,385,230.40

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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.