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Finding the Third Proportional to 415,976.25 and 594,439.50

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Solution

The third proportional to 415,976.25 and 594,439.50 is: 849,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,976.25 : 594,439.50 = 594,439.50 : x
  2. Step 2: Convert to fraction form
    415,976.25/594,439.50 = 594,439.50/x
  3. Step 3: Cross multiply
    415,976.25x = 594,439.50 × 594,439.50
  4. Step 4: Simplify right side
    415,976.25x = 353,358,319,160.25
  5. Step 5: Solve for x
    x = 353,358,319,160.25/415,976.25
  6. Step 6: Final answer
    x = 849,467.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.