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Finding the Third Proportional to 297,330 and 641,316

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Solution

The third proportional to 297,330 and 641,316 is: 1,383,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,330 : 641,316 = 641,316 : x
  2. Step 2: Convert to fraction form
    297,330/641,316 = 641,316/x
  3. Step 3: Cross multiply
    297,330x = 641,316 × 641,316
  4. Step 4: Simplify right side
    297,330x = 411,286,211,856
  5. Step 5: Solve for x
    x = 411,286,211,856/297,330
  6. Step 6: Final answer
    x = 1,383,265.10

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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.