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Finding the Third Proportional to 341,967.38 and 513,133.88

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Solution

The third proportional to 341,967.38 and 513,133.88 is: 769,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,967.38 : 513,133.88 = 513,133.88 : x
  2. Step 2: Convert to fraction form
    341,967.38/513,133.88 = 513,133.88/x
  3. Step 3: Cross multiply
    341,967.38x = 513,133.88 × 513,133.88
  4. Step 4: Simplify right side
    341,967.38x = 263,306,373,672.52
  5. Step 5: Solve for x
    x = 263,306,373,672.52/341,967.38
  6. Step 6: Final answer
    x = 769,975.13

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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.