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Finding the Third Proportional to 286,150.13 and 455,496.38

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Solution

The third proportional to 286,150.13 and 455,496.38 is: 725,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,150.13 : 455,496.38 = 455,496.38 : x
  2. Step 2: Convert to fraction form
    286,150.13/455,496.38 = 455,496.38/x
  3. Step 3: Cross multiply
    286,150.13x = 455,496.38 × 455,496.38
  4. Step 4: Simplify right side
    286,150.13x = 207,476,947,638.14
  5. Step 5: Solve for x
    x = 207,476,947,638.14/286,150.13
  6. Step 6: Final answer
    x = 725,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.