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Finding the Third Proportional to 296,319 and 638,964

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Solution

The third proportional to 296,319 and 638,964 is: 1,377,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,319 : 638,964 = 638,964 : x
  2. Step 2: Convert to fraction form
    296,319/638,964 = 638,964/x
  3. Step 3: Cross multiply
    296,319x = 638,964 × 638,964
  4. Step 4: Simplify right side
    296,319x = 408,274,993,296
  5. Step 5: Solve for x
    x = 408,274,993,296/296,319
  6. Step 6: Final answer
    x = 1,377,822.53

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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.