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Finding the Third Proportional to 299,173.50 and 640,386

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Solution

The third proportional to 299,173.50 and 640,386 is: 1,370,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,173.50 : 640,386 = 640,386 : x
  2. Step 2: Convert to fraction form
    299,173.50/640,386 = 640,386/x
  3. Step 3: Cross multiply
    299,173.50x = 640,386 × 640,386
  4. Step 4: Simplify right side
    299,173.50x = 410,094,228,996
  5. Step 5: Solve for x
    x = 410,094,228,996/299,173.50
  6. Step 6: Final answer
    x = 1,370,757.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.