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Finding the Third Proportional to 329,801.63 and 492,753.38

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Solution

The third proportional to 329,801.63 and 492,753.38 is: 736,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,801.63 : 492,753.38 = 492,753.38 : x
  2. Step 2: Convert to fraction form
    329,801.63/492,753.38 = 492,753.38/x
  3. Step 3: Cross multiply
    329,801.63x = 492,753.38 × 492,753.38
  4. Step 4: Simplify right side
    329,801.63x = 242,805,888,573.89
  5. Step 5: Solve for x
    x = 242,805,888,573.89/329,801.63
  6. Step 6: Final answer
    x = 736,217.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.