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Finding the Third Proportional to 368,421.22 and 585,847.37

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Solution

The third proportional to 368,421.22 and 585,847.37 is: 931,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,421.22 : 585,847.37 = 585,847.37 : x
  2. Step 2: Convert to fraction form
    368,421.22/585,847.37 = 585,847.37/x
  3. Step 3: Cross multiply
    368,421.22x = 585,847.37 × 585,847.37
  4. Step 4: Simplify right side
    368,421.22x = 343,217,142,217.46
  5. Step 5: Solve for x
    x = 343,217,142,217.46/368,421.22
  6. Step 6: Final answer
    x = 931,588.96

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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.