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Finding the Third Proportional to 297,832 and 637,216

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Solution

The third proportional to 297,832 and 637,216 is: 1,363,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832 : 637,216 = 637,216 : x
  2. Step 2: Convert to fraction form
    297,832/637,216 = 637,216/x
  3. Step 3: Cross multiply
    297,832x = 637,216 × 637,216
  4. Step 4: Simplify right side
    297,832x = 406,044,230,656
  5. Step 5: Solve for x
    x = 406,044,230,656/297,832
  6. Step 6: Final answer
    x = 1,363,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.