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Finding the Third Proportional to 245,376 and 347,964

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Solution

The third proportional to 245,376 and 347,964 is: 493,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,376 : 347,964 = 347,964 : x
  2. Step 2: Convert to fraction form
    245,376/347,964 = 347,964/x
  3. Step 3: Cross multiply
    245,376x = 347,964 × 347,964
  4. Step 4: Simplify right side
    245,376x = 121,078,945,296
  5. Step 5: Solve for x
    x = 121,078,945,296/245,376
  6. Step 6: Final answer
    x = 493,442.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.