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Finding the Third Proportional to 322,365.75 and 692,303.63

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Solution

The third proportional to 322,365.75 and 692,303.63 is: 1,486,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,365.75 : 692,303.63 = 692,303.63 : x
  2. Step 2: Convert to fraction form
    322,365.75/692,303.63 = 692,303.63/x
  3. Step 3: Cross multiply
    322,365.75x = 692,303.63 × 692,303.63
  4. Step 4: Simplify right side
    322,365.75x = 479,284,309,188.14
  5. Step 5: Solve for x
    x = 479,284,309,188.14/322,365.75
  6. Step 6: Final answer
    x = 1,486,771.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.