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Finding the Third Proportional to 404,825.50 and 594,102.50

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Solution

The third proportional to 404,825.50 and 594,102.50 is: 871,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,825.50 : 594,102.50 = 594,102.50 : x
  2. Step 2: Convert to fraction form
    404,825.50/594,102.50 = 594,102.50/x
  3. Step 3: Cross multiply
    404,825.50x = 594,102.50 × 594,102.50
  4. Step 4: Simplify right side
    404,825.50x = 352,957,780,506.25
  5. Step 5: Solve for x
    x = 352,957,780,506.25/404,825.50
  6. Step 6: Final answer
    x = 871,876.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.