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Finding the Third Proportional to 231,332.63 and 535,503.94

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Solution

The third proportional to 231,332.63 and 535,503.94 is: 1,239,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,332.63 : 535,503.94 = 535,503.94 : x
  2. Step 2: Convert to fraction form
    231,332.63/535,503.94 = 535,503.94/x
  3. Step 3: Cross multiply
    231,332.63x = 535,503.94 × 535,503.94
  4. Step 4: Simplify right side
    231,332.63x = 286,764,467,078.00
  5. Step 5: Solve for x
    x = 286,764,467,078.00/231,332.63
  6. Step 6: Final answer
    x = 1,239,619.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.