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Finding the Third Proportional to 297,117 and 403,695

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Solution

The third proportional to 297,117 and 403,695 is: 548,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,117 : 403,695 = 403,695 : x
  2. Step 2: Convert to fraction form
    297,117/403,695 = 403,695/x
  3. Step 3: Cross multiply
    297,117x = 403,695 × 403,695
  4. Step 4: Simplify right side
    297,117x = 162,969,653,025
  5. Step 5: Solve for x
    x = 162,969,653,025/297,117
  6. Step 6: Final answer
    x = 548,503.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.