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Finding the Third Proportional to 286,588.13 and 412,021.69

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Solution

The third proportional to 286,588.13 and 412,021.69 is: 592,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,588.13 : 412,021.69 = 412,021.69 : x
  2. Step 2: Convert to fraction form
    286,588.13/412,021.69 = 412,021.69/x
  3. Step 3: Cross multiply
    286,588.13x = 412,021.69 × 412,021.69
  4. Step 4: Simplify right side
    286,588.13x = 169,761,870,970.35
  5. Step 5: Solve for x
    x = 169,761,870,970.35/286,588.13
  6. Step 6: Final answer
    x = 592,354.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.