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Finding the Third Proportional to 492,177.52 and 738,727.59

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Solution

The third proportional to 492,177.52 and 738,727.59 is: 1,108,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,177.52 : 738,727.59 = 738,727.59 : x
  2. Step 2: Convert to fraction form
    492,177.52/738,727.59 = 738,727.59/x
  3. Step 3: Cross multiply
    492,177.52x = 738,727.59 × 738,727.59
  4. Step 4: Simplify right side
    492,177.52x = 545,718,457,767.67
  5. Step 5: Solve for x
    x = 545,718,457,767.67/492,177.52
  6. Step 6: Final answer
    x = 1,108,783.80

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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.