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Finding the Third Proportional to 341,996 and 513,176.25

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Solution

The third proportional to 341,996 and 513,176.25 is: 770,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996 : 513,176.25 = 513,176.25 : x
  2. Step 2: Convert to fraction form
    341,996/513,176.25 = 513,176.25/x
  3. Step 3: Cross multiply
    341,996x = 513,176.25 × 513,176.25
  4. Step 4: Simplify right side
    341,996x = 263,349,863,564.06
  5. Step 5: Solve for x
    x = 263,349,863,564.06/341,996
  6. Step 6: Final answer
    x = 770,037.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.