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Finding the Third Proportional to 244,141.88 and 534,830.63

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Solution

The third proportional to 244,141.88 and 534,830.63 is: 1,171,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,141.88 : 534,830.63 = 534,830.63 : x
  2. Step 2: Convert to fraction form
    244,141.88/534,830.63 = 534,830.63/x
  3. Step 3: Cross multiply
    244,141.88x = 534,830.63 × 534,830.63
  4. Step 4: Simplify right side
    244,141.88x = 286,043,797,437.89
  5. Step 5: Solve for x
    x = 286,043,797,437.89/244,141.88
  6. Step 6: Final answer
    x = 1,171,629.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.