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Finding the Third Proportional to 291,273.50 and 393,528

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Solution

The third proportional to 291,273.50 and 393,528 is: 531,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,273.50 : 393,528 = 393,528 : x
  2. Step 2: Convert to fraction form
    291,273.50/393,528 = 393,528/x
  3. Step 3: Cross multiply
    291,273.50x = 393,528 × 393,528
  4. Step 4: Simplify right side
    291,273.50x = 154,864,286,784
  5. Step 5: Solve for x
    x = 154,864,286,784/291,273.50
  6. Step 6: Final answer
    x = 531,679.97

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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.