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Finding the Third Proportional to 291,432 and 463,404

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Solution

The third proportional to 291,432 and 463,404 is: 736,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,432 : 463,404 = 463,404 : x
  2. Step 2: Convert to fraction form
    291,432/463,404 = 463,404/x
  3. Step 3: Cross multiply
    291,432x = 463,404 × 463,404
  4. Step 4: Simplify right side
    291,432x = 214,743,267,216
  5. Step 5: Solve for x
    x = 214,743,267,216/291,432
  6. Step 6: Final answer
    x = 736,855.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.