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Finding the Third Proportional to 495,933 and 741,975.75

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Solution

The third proportional to 495,933 and 741,975.75 is: 1,110,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,933 : 741,975.75 = 741,975.75 : x
  2. Step 2: Convert to fraction form
    495,933/741,975.75 = 741,975.75/x
  3. Step 3: Cross multiply
    495,933x = 741,975.75 × 741,975.75
  4. Step 4: Simplify right side
    495,933x = 550,528,013,588.06
  5. Step 5: Solve for x
    x = 550,528,013,588.06/495,933
  6. Step 6: Final answer
    x = 1,110,085.46

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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.