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Finding the Third Proportional to 393,946.88 and 768,210.75

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Solution

The third proportional to 393,946.88 and 768,210.75 is: 1,498,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,946.88 : 768,210.75 = 768,210.75 : x
  2. Step 2: Convert to fraction form
    393,946.88/768,210.75 = 768,210.75/x
  3. Step 3: Cross multiply
    393,946.88x = 768,210.75 × 768,210.75
  4. Step 4: Simplify right side
    393,946.88x = 590,147,756,415.56
  5. Step 5: Solve for x
    x = 590,147,756,415.56/393,946.88
  6. Step 6: Final answer
    x = 1,498,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.