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Finding the Third Proportional to 244,973.63 and 384,958.13

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Solution

The third proportional to 244,973.63 and 384,958.13 is: 604,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,973.63 : 384,958.13 = 384,958.13 : x
  2. Step 2: Convert to fraction form
    244,973.63/384,958.13 = 384,958.13/x
  3. Step 3: Cross multiply
    244,973.63x = 384,958.13 × 384,958.13
  4. Step 4: Simplify right side
    244,973.63x = 148,192,758,003.52
  5. Step 5: Solve for x
    x = 148,192,758,003.52/244,973.63
  6. Step 6: Final answer
    x = 604,933.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.