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Finding the Third Proportional to 291,313.50 and 393,588

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Solution

The third proportional to 291,313.50 and 393,588 is: 531,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,313.50 : 393,588 = 393,588 : x
  2. Step 2: Convert to fraction form
    291,313.50/393,588 = 393,588/x
  3. Step 3: Cross multiply
    291,313.50x = 393,588 × 393,588
  4. Step 4: Simplify right side
    291,313.50x = 154,911,513,744
  5. Step 5: Solve for x
    x = 154,911,513,744/291,313.50
  6. Step 6: Final answer
    x = 531,769.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.