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Finding the Third Proportional to 364,230.50 and 772,842.25

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Solution

The third proportional to 364,230.50 and 772,842.25 is: 1,639,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,230.50 : 772,842.25 = 772,842.25 : x
  2. Step 2: Convert to fraction form
    364,230.50/772,842.25 = 772,842.25/x
  3. Step 3: Cross multiply
    364,230.50x = 772,842.25 × 772,842.25
  4. Step 4: Simplify right side
    364,230.50x = 597,285,143,385.06
  5. Step 5: Solve for x
    x = 597,285,143,385.06/364,230.50
  6. Step 6: Final answer
    x = 1,639,854.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.