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Finding the Third Proportional to 323,038.13 and 475,228.27

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Solution

The third proportional to 323,038.13 and 475,228.27 is: 699,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,038.13 : 475,228.27 = 475,228.27 : x
  2. Step 2: Convert to fraction form
    323,038.13/475,228.27 = 475,228.27/x
  3. Step 3: Cross multiply
    323,038.13x = 475,228.27 × 475,228.27
  4. Step 4: Simplify right side
    323,038.13x = 225,841,904,448.95
  5. Step 5: Solve for x
    x = 225,841,904,448.95/323,038.13
  6. Step 6: Final answer
    x = 699,118.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.