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Finding the Third Proportional to 356,005.13 and 475,558.59

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Solution

The third proportional to 356,005.13 and 475,558.59 is: 635,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,005.13 : 475,558.59 = 475,558.59 : x
  2. Step 2: Convert to fraction form
    356,005.13/475,558.59 = 475,558.59/x
  3. Step 3: Cross multiply
    356,005.13x = 475,558.59 × 475,558.59
  4. Step 4: Simplify right side
    356,005.13x = 226,155,976,089.48
  5. Step 5: Solve for x
    x = 226,155,976,089.48/356,005.13
  6. Step 6: Final answer
    x = 635,260.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.