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Finding the Third Proportional to 361,315.69 and 475,232.06

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Solution

The third proportional to 361,315.69 and 475,232.06 is: 625,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,315.69 : 475,232.06 = 475,232.06 : x
  2. Step 2: Convert to fraction form
    361,315.69/475,232.06 = 475,232.06/x
  3. Step 3: Cross multiply
    361,315.69x = 475,232.06 × 475,232.06
  4. Step 4: Simplify right side
    361,315.69x = 225,845,513,228.00
  5. Step 5: Solve for x
    x = 225,845,513,228.00/361,315.69
  6. Step 6: Final answer
    x = 625,064.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.