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Finding the Third Proportional to 293,866.50 and 406,056.75

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Solution

The third proportional to 293,866.50 and 406,056.75 is: 561,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,866.50 : 406,056.75 = 406,056.75 : x
  2. Step 2: Convert to fraction form
    293,866.50/406,056.75 = 406,056.75/x
  3. Step 3: Cross multiply
    293,866.50x = 406,056.75 × 406,056.75
  4. Step 4: Simplify right side
    293,866.50x = 164,882,084,220.56
  5. Step 5: Solve for x
    x = 164,882,084,220.56/293,866.50
  6. Step 6: Final answer
    x = 561,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.