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Finding the Third Proportional to 364,233.38 and 772,848

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Solution

The third proportional to 364,233.38 and 772,848 is: 1,639,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,233.38 : 772,848 = 772,848 : x
  2. Step 2: Convert to fraction form
    364,233.38/772,848 = 772,848/x
  3. Step 3: Cross multiply
    364,233.38x = 772,848 × 772,848
  4. Step 4: Simplify right side
    364,233.38x = 597,294,031,104
  5. Step 5: Solve for x
    x = 597,294,031,104/364,233.38
  6. Step 6: Final answer
    x = 1,639,866.28

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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.