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Finding the Third Proportional to 375,441.75 and 777,497.06

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Solution

The third proportional to 375,441.75 and 777,497.06 is: 1,610,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,441.75 : 777,497.06 = 777,497.06 : x
  2. Step 2: Convert to fraction form
    375,441.75/777,497.06 = 777,497.06/x
  3. Step 3: Cross multiply
    375,441.75x = 777,497.06 × 777,497.06
  4. Step 4: Simplify right side
    375,441.75x = 604,501,682,196.13
  5. Step 5: Solve for x
    x = 604,501,682,196.13/375,441.75
  6. Step 6: Final answer
    x = 1,610,107.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.