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Finding the Third Proportional to 375,904.25 and 543,116.75

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Solution

The third proportional to 375,904.25 and 543,116.75 is: 784,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,904.25 : 543,116.75 = 543,116.75 : x
  2. Step 2: Convert to fraction form
    375,904.25/543,116.75 = 543,116.75/x
  3. Step 3: Cross multiply
    375,904.25x = 543,116.75 × 543,116.75
  4. Step 4: Simplify right side
    375,904.25x = 294,975,804,130.56
  5. Step 5: Solve for x
    x = 294,975,804,130.56/375,904.25
  6. Step 6: Final answer
    x = 784,709.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.