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Finding the Third Proportional to 416,009.25 and 594,479.25

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Solution

The third proportional to 416,009.25 and 594,479.25 is: 849,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,009.25 : 594,479.25 = 594,479.25 : x
  2. Step 2: Convert to fraction form
    416,009.25/594,479.25 = 594,479.25/x
  3. Step 3: Cross multiply
    416,009.25x = 594,479.25 × 594,479.25
  4. Step 4: Simplify right side
    416,009.25x = 353,405,578,680.56
  5. Step 5: Solve for x
    x = 353,405,578,680.56/416,009.25
  6. Step 6: Final answer
    x = 849,513.75

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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.