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Finding the Third Proportional to 495,937.50 and 741,984.75

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Solution

The third proportional to 495,937.50 and 741,984.75 is: 1,110,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,937.50 : 741,984.75 = 741,984.75 : x
  2. Step 2: Convert to fraction form
    495,937.50/741,984.75 = 741,984.75/x
  3. Step 3: Cross multiply
    495,937.50x = 741,984.75 × 741,984.75
  4. Step 4: Simplify right side
    495,937.50x = 550,541,369,232.56
  5. Step 5: Solve for x
    x = 550,541,369,232.56/495,937.50
  6. Step 6: Final answer
    x = 1,110,102.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.