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Finding the Third Proportional to 349,042.50 and 533,715.75

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Solution

The third proportional to 349,042.50 and 533,715.75 is: 816,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,042.50 : 533,715.75 = 533,715.75 : x
  2. Step 2: Convert to fraction form
    349,042.50/533,715.75 = 533,715.75/x
  3. Step 3: Cross multiply
    349,042.50x = 533,715.75 × 533,715.75
  4. Step 4: Simplify right side
    349,042.50x = 284,852,501,798.06
  5. Step 5: Solve for x
    x = 284,852,501,798.06/349,042.50
  6. Step 6: Final answer
    x = 816,096.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.