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Finding the Third Proportional to 299,664 and 654,550

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Solution

The third proportional to 299,664 and 654,550 is: 1,429,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664 : 654,550 = 654,550 : x
  2. Step 2: Convert to fraction form
    299,664/654,550 = 654,550/x
  3. Step 3: Cross multiply
    299,664x = 654,550 × 654,550
  4. Step 4: Simplify right side
    299,664x = 428,435,702,500
  5. Step 5: Solve for x
    x = 428,435,702,500/299,664
  6. Step 6: Final answer
    x = 1,429,720.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.