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Finding the Third Proportional to 329,278.50 and 492,513.75

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Solution

The third proportional to 329,278.50 and 492,513.75 is: 736,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,278.50 : 492,513.75 = 492,513.75 : x
  2. Step 2: Convert to fraction form
    329,278.50/492,513.75 = 492,513.75/x
  3. Step 3: Cross multiply
    329,278.50x = 492,513.75 × 492,513.75
  4. Step 4: Simplify right side
    329,278.50x = 242,569,793,939.06
  5. Step 5: Solve for x
    x = 242,569,793,939.06/329,278.50
  6. Step 6: Final answer
    x = 736,670.61

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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.