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Finding the Third Proportional to 244,913.63 and 378,292.50

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Solution

The third proportional to 244,913.63 and 378,292.50 is: 584,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,913.63 : 378,292.50 = 378,292.50 : x
  2. Step 2: Convert to fraction form
    244,913.63/378,292.50 = 378,292.50/x
  3. Step 3: Cross multiply
    244,913.63x = 378,292.50 × 378,292.50
  4. Step 4: Simplify right side
    244,913.63x = 143,105,215,556.25
  5. Step 5: Solve for x
    x = 143,105,215,556.25/244,913.63
  6. Step 6: Final answer
    x = 584,308.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.