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Finding the Third Proportional to 295,564 and 640,519

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Solution

The third proportional to 295,564 and 640,519 is: 1,388,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,564 : 640,519 = 640,519 : x
  2. Step 2: Convert to fraction form
    295,564/640,519 = 640,519/x
  3. Step 3: Cross multiply
    295,564x = 640,519 × 640,519
  4. Step 4: Simplify right side
    295,564x = 410,264,589,361
  5. Step 5: Solve for x
    x = 410,264,589,361/295,564
  6. Step 6: Final answer
    x = 1,388,073.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.