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Finding the Third Proportional to 291,564 and 640,200

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Solution

The third proportional to 291,564 and 640,200 is: 1,405,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,564 : 640,200 = 640,200 : x
  2. Step 2: Convert to fraction form
    291,564/640,200 = 640,200/x
  3. Step 3: Cross multiply
    291,564x = 640,200 × 640,200
  4. Step 4: Simplify right side
    291,564x = 409,856,040,000
  5. Step 5: Solve for x
    x = 409,856,040,000/291,564
  6. Step 6: Final answer
    x = 1,405,715.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.