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Finding the Third Proportional to 374,214.94 and 586,241.30

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Solution

The third proportional to 374,214.94 and 586,241.30 is: 918,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,214.94 : 586,241.30 = 586,241.30 : x
  2. Step 2: Convert to fraction form
    374,214.94/586,241.30 = 586,241.30/x
  3. Step 3: Cross multiply
    374,214.94x = 586,241.30 × 586,241.30
  4. Step 4: Simplify right side
    374,214.94x = 343,678,858,161.68
  5. Step 5: Solve for x
    x = 343,678,858,161.68/374,214.94
  6. Step 6: Final answer
    x = 918,399.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.