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Finding the Third Proportional to 364,856.25 and 777,071.25

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Solution

The third proportional to 364,856.25 and 777,071.25 is: 1,655,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,856.25 : 777,071.25 = 777,071.25 : x
  2. Step 2: Convert to fraction form
    364,856.25/777,071.25 = 777,071.25/x
  3. Step 3: Cross multiply
    364,856.25x = 777,071.25 × 777,071.25
  4. Step 4: Simplify right side
    364,856.25x = 603,839,727,576.56
  5. Step 5: Solve for x
    x = 603,839,727,576.56/364,856.25
  6. Step 6: Final answer
    x = 1,655,007.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.