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Finding the Third Proportional to 500,375 and 737,328

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Solution

The third proportional to 500,375 and 737,328 is: 1,086,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,375 : 737,328 = 737,328 : x
  2. Step 2: Convert to fraction form
    500,375/737,328 = 737,328/x
  3. Step 3: Cross multiply
    500,375x = 737,328 × 737,328
  4. Step 4: Simplify right side
    500,375x = 543,652,579,584
  5. Step 5: Solve for x
    x = 543,652,579,584/500,375
  6. Step 6: Final answer
    x = 1,086,490.29

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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.